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Finding the Fourth Proportional to 9,682.11, 13,365.74 and 7,443.20

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Solution

The fourth proportional to 9,682.11, 13,365.74 and 7,443.20 is: 10,275.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.11 : 13,365.74 = 7,443.20 : x
  2. Step 2: Convert to fraction form
    9,682.11/13,365.74 = 7,443.20/x
  3. Step 3: Cross multiply
    9,682.11x = 13,365.74 × 7,443.20
  4. Step 4: Simplify right side
    9,682.11x = 99,483,875.97
  5. Step 5: Solve for x
    x = 99,483,875.97/9,682.11
  6. Step 6: Final answer
    x = 10,275.02

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Half scale
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Double scale
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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.