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Finding the Fourth Proportional to 9,915.74, 14,876.85 and 7,731.98

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Solution

The fourth proportional to 9,915.74, 14,876.85 and 7,731.98 is: 11,600.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.74 : 14,876.85 = 7,731.98 : x
  2. Step 2: Convert to fraction form
    9,915.74/14,876.85 = 7,731.98/x
  3. Step 3: Cross multiply
    9,915.74x = 14,876.85 × 7,731.98
  4. Step 4: Simplify right side
    9,915.74x = 115,027,506.66
  5. Step 5: Solve for x
    x = 115,027,506.66/9,915.74
  6. Step 6: Final answer
    x = 11,600.50

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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.