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Finding the Fourth Proportional to 23,156, 31,955.92 and 13,084.86

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Solution

The fourth proportional to 23,156, 31,955.92 and 13,084.86 is: 18,057.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,156 : 31,955.92 = 13,084.86 : x
  2. Step 2: Convert to fraction form
    23,156/31,955.92 = 13,084.86/x
  3. Step 3: Cross multiply
    23,156x = 31,955.92 × 13,084.86
  4. Step 4: Simplify right side
    23,156x = 418,138,739.37
  5. Step 5: Solve for x
    x = 418,138,739.37/23,156
  6. Step 6: Final answer
    x = 18,057.47

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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.