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Finding the Fourth Proportional to 10,640.10, 15,934.41 and 9,071.13

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Solution

The fourth proportional to 10,640.10, 15,934.41 and 9,071.13 is: 13,584.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.10 : 15,934.41 = 9,071.13 : x
  2. Step 2: Convert to fraction form
    10,640.10/15,934.41 = 9,071.13/x
  3. Step 3: Cross multiply
    10,640.10x = 15,934.41 × 9,071.13
  4. Step 4: Simplify right side
    10,640.10x = 144,543,104.58
  5. Step 5: Solve for x
    x = 144,543,104.58/10,640.10
  6. Step 6: Final answer
    x = 13,584.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.