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Finding the Fourth Proportional to 16,439, 22,685.82 and 8,987

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Solution

The fourth proportional to 16,439, 22,685.82 and 8,987 is: 12,402.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,439 : 22,685.82 = 8,987 : x
  2. Step 2: Convert to fraction form
    16,439/22,685.82 = 8,987/x
  3. Step 3: Cross multiply
    16,439x = 22,685.82 × 8,987
  4. Step 4: Simplify right side
    16,439x = 203,877,464.34
  5. Step 5: Solve for x
    x = 203,877,464.34/16,439
  6. Step 6: Final answer
    x = 12,402.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.