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Finding the Fourth Proportional to 9,877, 14,815.52 and 2,581

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Solution

The fourth proportional to 9,877, 14,815.52 and 2,581 is: 3,871.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877 : 14,815.52 = 2,581 : x
  2. Step 2: Convert to fraction form
    9,877/14,815.52 = 2,581/x
  3. Step 3: Cross multiply
    9,877x = 14,815.52 × 2,581
  4. Step 4: Simplify right side
    9,877x = 38,238,857.12
  5. Step 5: Solve for x
    x = 38,238,857.12/9,877
  6. Step 6: Final answer
    x = 3,871.51

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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.