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Finding the Fourth Proportional to 16,423.88, 22,665.49 and 8,971.88

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Solution

The fourth proportional to 16,423.88, 22,665.49 and 8,971.88 is: 12,381.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,423.88 : 22,665.49 = 8,971.88 : x
  2. Step 2: Convert to fraction form
    16,423.88/22,665.49 = 8,971.88/x
  3. Step 3: Cross multiply
    16,423.88x = 22,665.49 × 8,971.88
  4. Step 4: Simplify right side
    16,423.88x = 203,351,920.66
  5. Step 5: Solve for x
    x = 203,351,920.66/16,423.88
  6. Step 6: Final answer
    x = 12,381.48

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1.5x scale

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.