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Finding the Fourth Proportional to 10,614.92, 15,906.58 and 7,819.20

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Solution

The fourth proportional to 10,614.92, 15,906.58 and 7,819.20 is: 11,717.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.92 : 15,906.58 = 7,819.20 : x
  2. Step 2: Convert to fraction form
    10,614.92/15,906.58 = 7,819.20/x
  3. Step 3: Cross multiply
    10,614.92x = 15,906.58 × 7,819.20
  4. Step 4: Simplify right side
    10,614.92x = 124,376,710.79
  5. Step 5: Solve for x
    x = 124,376,710.79/10,614.92
  6. Step 6: Final answer
    x = 11,717.17

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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.