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Finding the Fourth Proportional to 16,428, 22,670.82 and 8,976

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Solution

The fourth proportional to 16,428, 22,670.82 and 8,976 is: 12,386.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,428 : 22,670.82 = 8,976 : x
  2. Step 2: Convert to fraction form
    16,428/22,670.82 = 8,976/x
  3. Step 3: Cross multiply
    16,428x = 22,670.82 × 8,976
  4. Step 4: Simplify right side
    16,428x = 203,493,280.32
  5. Step 5: Solve for x
    x = 203,493,280.32/16,428
  6. Step 6: Final answer
    x = 12,386.98

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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.