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Finding the Fourth Proportional to 9,915.20, 14,862 and 4,070.24

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Solution

The fourth proportional to 9,915.20, 14,862 and 4,070.24 is: 6,100.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.20 : 14,862 = 4,070.24 : x
  2. Step 2: Convert to fraction form
    9,915.20/14,862 = 4,070.24/x
  3. Step 3: Cross multiply
    9,915.20x = 14,862 × 4,070.24
  4. Step 4: Simplify right side
    9,915.20x = 60,491,906.88
  5. Step 5: Solve for x
    x = 60,491,906.88/9,915.20
  6. Step 6: Final answer
    x = 6,100.93

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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.