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Finding the Fourth Proportional to 10,471.13, 15,706.69 and 2,679.94

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Solution

The fourth proportional to 10,471.13, 15,706.69 and 2,679.94 is: 4,019.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.13 : 15,706.69 = 2,679.94 : x
  2. Step 2: Convert to fraction form
    10,471.13/15,706.69 = 2,679.94/x
  3. Step 3: Cross multiply
    10,471.13x = 15,706.69 × 2,679.94
  4. Step 4: Simplify right side
    10,471.13x = 42,092,940.83
  5. Step 5: Solve for x
    x = 42,092,940.83/10,471.13
  6. Step 6: Final answer
    x = 4,019.91

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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.