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Finding the Fourth Proportional to 34,515, 51,772.68 and 9,891

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Solution

The fourth proportional to 34,515, 51,772.68 and 9,891 is: 14,836.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,515 : 51,772.68 = 9,891 : x
  2. Step 2: Convert to fraction form
    34,515/51,772.68 = 9,891/x
  3. Step 3: Cross multiply
    34,515x = 51,772.68 × 9,891
  4. Step 4: Simplify right side
    34,515x = 512,083,577.88
  5. Step 5: Solve for x
    x = 512,083,577.88/34,515
  6. Step 6: Final answer
    x = 14,836.55

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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.