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Finding the Fourth Proportional to 10,555.90, 15,839.31 and 7,658.12

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Solution

The fourth proportional to 10,555.90, 15,839.31 and 7,658.12 is: 11,491.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,555.90 : 15,839.31 = 7,658.12 : x
  2. Step 2: Convert to fraction form
    10,555.90/15,839.31 = 7,658.12/x
  3. Step 3: Cross multiply
    10,555.90x = 15,839.31 × 7,658.12
  4. Step 4: Simplify right side
    10,555.90x = 121,299,336.70
  5. Step 5: Solve for x
    x = 121,299,336.70/10,555.90
  6. Step 6: Final answer
    x = 11,491.14

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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.