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Finding the Fourth Proportional to 10,611.38, 15,924.38 and 3,685.88

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Solution

The fourth proportional to 10,611.38, 15,924.38 and 3,685.88 is: 5,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.38 : 15,924.38 = 3,685.88 : x
  2. Step 2: Convert to fraction form
    10,611.38/15,924.38 = 3,685.88/x
  3. Step 3: Cross multiply
    10,611.38x = 15,924.38 × 3,685.88
  4. Step 4: Simplify right side
    10,611.38x = 58,695,255.70
  5. Step 5: Solve for x
    x = 58,695,255.70/10,611.38
  6. Step 6: Final answer
    x = 5,531.35

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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.