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Finding the Fourth Proportional to 7,287.10, 10,930.65 and 7,141.30

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Solution

The fourth proportional to 7,287.10, 10,930.65 and 7,141.30 is: 10,711.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.10 : 10,930.65 = 7,141.30 : x
  2. Step 2: Convert to fraction form
    7,287.10/10,930.65 = 7,141.30/x
  3. Step 3: Cross multiply
    7,287.10x = 10,930.65 × 7,141.30
  4. Step 4: Simplify right side
    7,287.10x = 78,059,050.85
  5. Step 5: Solve for x
    x = 78,059,050.85/7,287.10
  6. Step 6: Final answer
    x = 10,711.95

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Similar ratio
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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.