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Finding the Fourth Proportional to 16,429, 22,672.18 and 8,977

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Solution

The fourth proportional to 16,429, 22,672.18 and 8,977 is: 12,388.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,429 : 22,672.18 = 8,977 : x
  2. Step 2: Convert to fraction form
    16,429/22,672.18 = 8,977/x
  3. Step 3: Cross multiply
    16,429x = 22,672.18 × 8,977
  4. Step 4: Simplify right side
    16,429x = 203,528,159.86
  5. Step 5: Solve for x
    x = 203,528,159.86/16,429
  6. Step 6: Final answer
    x = 12,388.35

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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.