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Finding the Fourth Proportional to 9,809.34, 13,538.79 and 6,446.22

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Solution

The fourth proportional to 9,809.34, 13,538.79 and 6,446.22 is: 8,897.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.34 : 13,538.79 = 6,446.22 : x
  2. Step 2: Convert to fraction form
    9,809.34/13,538.79 = 6,446.22/x
  3. Step 3: Cross multiply
    9,809.34x = 13,538.79 × 6,446.22
  4. Step 4: Simplify right side
    9,809.34x = 87,274,018.87
  5. Step 5: Solve for x
    x = 87,274,018.87/9,809.34
  6. Step 6: Final answer
    x = 8,897.03

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Half scale
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Double scale
Find fourth proportional to 9,810.34, 13,540.17 and 6,447.22
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.