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Finding the Fourth Proportional to 22,981, 31,712.98 and 14,043.46

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Solution

The fourth proportional to 22,981, 31,712.98 and 14,043.46 is: 19,379.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,981 : 31,712.98 = 14,043.46 : x
  2. Step 2: Convert to fraction form
    22,981/31,712.98 = 14,043.46/x
  3. Step 3: Cross multiply
    22,981x = 31,712.98 × 14,043.46
  4. Step 4: Simplify right side
    22,981x = 445,359,966.11
  5. Step 5: Solve for x
    x = 445,359,966.11/22,981
  6. Step 6: Final answer
    x = 19,379.49

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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.