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Finding the Fourth Proportional to 7,287.30, 10,930.95 and 7,165.80

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Solution

The fourth proportional to 7,287.30, 10,930.95 and 7,165.80 is: 10,748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.30 : 10,930.95 = 7,165.80 : x
  2. Step 2: Convert to fraction form
    7,287.30/10,930.95 = 7,165.80/x
  3. Step 3: Cross multiply
    7,287.30x = 10,930.95 × 7,165.80
  4. Step 4: Simplify right side
    7,287.30x = 78,329,001.51
  5. Step 5: Solve for x
    x = 78,329,001.51/7,287.30
  6. Step 6: Final answer
    x = 10,748.70

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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.