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Finding the Fourth Proportional to 22,694.40, 31,318.88 and 13,740

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Solution

The fourth proportional to 22,694.40, 31,318.88 and 13,740 is: 18,961.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,694.40 : 31,318.88 = 13,740 : x
  2. Step 2: Convert to fraction form
    22,694.40/31,318.88 = 13,740/x
  3. Step 3: Cross multiply
    22,694.40x = 31,318.88 × 13,740
  4. Step 4: Simplify right side
    22,694.40x = 430,321,411.20
  5. Step 5: Solve for x
    x = 430,321,411.20/22,694.40
  6. Step 6: Final answer
    x = 18,961.57

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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.