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Finding the Fourth Proportional to 9,915.64, 14,869.14 and 2,988.52

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Solution

The fourth proportional to 9,915.64, 14,869.14 and 2,988.52 is: 4,481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.64 : 14,869.14 = 2,988.52 : x
  2. Step 2: Convert to fraction form
    9,915.64/14,869.14 = 2,988.52/x
  3. Step 3: Cross multiply
    9,915.64x = 14,869.14 × 2,988.52
  4. Step 4: Simplify right side
    9,915.64x = 44,436,722.27
  5. Step 5: Solve for x
    x = 44,436,722.27/9,915.64
  6. Step 6: Final answer
    x = 4,481.48

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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.