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Finding the Fourth Proportional to 22,659, 31,269.42 and 12,723

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Solution

The fourth proportional to 22,659, 31,269.42 and 12,723 is: 17,557.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,659 : 31,269.42 = 12,723 : x
  2. Step 2: Convert to fraction form
    22,659/31,269.42 = 12,723/x
  3. Step 3: Cross multiply
    22,659x = 31,269.42 × 12,723
  4. Step 4: Simplify right side
    22,659x = 397,840,830.66
  5. Step 5: Solve for x
    x = 397,840,830.66/22,659
  6. Step 6: Final answer
    x = 17,557.74

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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.