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Finding the Fourth Proportional to 10,611.76, 15,915.16 and 3,951.39

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Solution

The fourth proportional to 10,611.76, 15,915.16 and 3,951.39 is: 5,926.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.76 : 15,915.16 = 3,951.39 : x
  2. Step 2: Convert to fraction form
    10,611.76/15,915.16 = 3,951.39/x
  3. Step 3: Cross multiply
    10,611.76x = 15,915.16 × 3,951.39
  4. Step 4: Simplify right side
    10,611.76x = 62,887,004.07
  5. Step 5: Solve for x
    x = 62,887,004.07/10,611.76
  6. Step 6: Final answer
    x = 5,926.16

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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.