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Finding the Fourth Proportional to 28,221.62, 38,947.10 and 16,123.16

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Solution

The fourth proportional to 28,221.62, 38,947.10 and 16,123.16 is: 22,250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,221.62 : 38,947.10 = 16,123.16 : x
  2. Step 2: Convert to fraction form
    28,221.62/38,947.10 = 16,123.16/x
  3. Step 3: Cross multiply
    28,221.62x = 38,947.10 × 16,123.16
  4. Step 4: Simplify right side
    28,221.62x = 627,950,324.84
  5. Step 5: Solve for x
    x = 627,950,324.84/28,221.62
  6. Step 6: Final answer
    x = 22,250.68

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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.