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Finding the Fourth Proportional to 10,609.76, 15,906.78 and 5,340.91

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Solution

The fourth proportional to 10,609.76, 15,906.78 and 5,340.91 is: 8,007.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.76 : 15,906.78 = 5,340.91 : x
  2. Step 2: Convert to fraction form
    10,609.76/15,906.78 = 5,340.91/x
  3. Step 3: Cross multiply
    10,609.76x = 15,906.78 × 5,340.91
  4. Step 4: Simplify right side
    10,609.76x = 84,956,715.17
  5. Step 5: Solve for x
    x = 84,956,715.17/10,609.76
  6. Step 6: Final answer
    x = 8,007.41

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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.