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Finding the Fourth Proportional to 16,404.32, 22,638 and 8,952.80

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Solution

The fourth proportional to 16,404.32, 22,638 and 8,952.80 is: 12,354.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,404.32 : 22,638 = 8,952.80 : x
  2. Step 2: Convert to fraction form
    16,404.32/22,638 = 8,952.80/x
  3. Step 3: Cross multiply
    16,404.32x = 22,638 × 8,952.80
  4. Step 4: Simplify right side
    16,404.32x = 202,673,486.40
  5. Step 5: Solve for x
    x = 202,673,486.40/16,404.32
  6. Step 6: Final answer
    x = 12,354.88

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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.