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Finding the Fourth Proportional to 9,809.34, 13,538.85 and 5,829.68

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Solution

The fourth proportional to 9,809.34, 13,538.85 and 5,829.68 is: 8,046.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.34 : 13,538.85 = 5,829.68 : x
  2. Step 2: Convert to fraction form
    9,809.34/13,538.85 = 5,829.68/x
  3. Step 3: Cross multiply
    9,809.34x = 13,538.85 × 5,829.68
  4. Step 4: Simplify right side
    9,809.34x = 78,927,095.37
  5. Step 5: Solve for x
    x = 78,927,095.37/9,809.34
  6. Step 6: Final answer
    x = 8,046.12

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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.