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Finding the Fourth Proportional to 9,915.57, 14,874.57 and 4,647.87

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Solution

The fourth proportional to 9,915.57, 14,874.57 and 4,647.87 is: 6,972.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.57 : 14,874.57 = 4,647.87 : x
  2. Step 2: Convert to fraction form
    9,915.57/14,874.57 = 4,647.87/x
  3. Step 3: Cross multiply
    9,915.57x = 14,874.57 × 4,647.87
  4. Step 4: Simplify right side
    9,915.57x = 69,135,067.67
  5. Step 5: Solve for x
    x = 69,135,067.67/9,915.57
  6. Step 6: Final answer
    x = 6,972.37

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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.