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Finding the Fourth Proportional to 7,330.61, 10,974.05 and 5,138.15

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Solution

The fourth proportional to 7,330.61, 10,974.05 and 5,138.15 is: 7,691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,330.61 : 10,974.05 = 5,138.15 : x
  2. Step 2: Convert to fraction form
    7,330.61/10,974.05 = 5,138.15/x
  3. Step 3: Cross multiply
    7,330.61x = 10,974.05 × 5,138.15
  4. Step 4: Simplify right side
    7,330.61x = 56,386,253.71
  5. Step 5: Solve for x
    x = 56,386,253.71/7,330.61
  6. Step 6: Final answer
    x = 7,691.89

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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.