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Finding the Fourth Proportional to 22,980, 31,712.40 and 13,044

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Solution

The fourth proportional to 22,980, 31,712.40 and 13,044 is: 18,000.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,980 : 31,712.40 = 13,044 : x
  2. Step 2: Convert to fraction form
    22,980/31,712.40 = 13,044/x
  3. Step 3: Cross multiply
    22,980x = 31,712.40 × 13,044
  4. Step 4: Simplify right side
    22,980x = 413,656,545.60
  5. Step 5: Solve for x
    x = 413,656,545.60/22,980
  6. Step 6: Final answer
    x = 18,000.72

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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.