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Finding the Fourth Proportional to 16,428, 22,671.20 and 8,976.48

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Solution

The fourth proportional to 16,428, 22,671.20 and 8,976.48 is: 12,387.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,428 : 22,671.20 = 8,976.48 : x
  2. Step 2: Convert to fraction form
    16,428/22,671.20 = 8,976.48/x
  3. Step 3: Cross multiply
    16,428x = 22,671.20 × 8,976.48
  4. Step 4: Simplify right side
    16,428x = 203,507,573.38
  5. Step 5: Solve for x
    x = 203,507,573.38/16,428
  6. Step 6: Final answer
    x = 12,387.85

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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.