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Finding the Fourth Proportional to 18,632, 25,712.16 and 11,182.40

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Solution

The fourth proportional to 18,632, 25,712.16 and 11,182.40 is: 15,431.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,632 : 25,712.16 = 11,182.40 : x
  2. Step 2: Convert to fraction form
    18,632/25,712.16 = 11,182.40/x
  3. Step 3: Cross multiply
    18,632x = 25,712.16 × 11,182.40
  4. Step 4: Simplify right side
    18,632x = 287,523,657.98
  5. Step 5: Solve for x
    x = 287,523,657.98/18,632
  6. Step 6: Final answer
    x = 15,431.71

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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.