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Finding the Fourth Proportional to 18,757.12, 25,881.76 and 10,372

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Solution

The fourth proportional to 18,757.12, 25,881.76 and 10,372 is: 14,311.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,757.12 : 25,881.76 = 10,372 : x
  2. Step 2: Convert to fraction form
    18,757.12/25,881.76 = 10,372/x
  3. Step 3: Cross multiply
    18,757.12x = 25,881.76 × 10,372
  4. Step 4: Simplify right side
    18,757.12x = 268,445,614.72
  5. Step 5: Solve for x
    x = 268,445,614.72/18,757.12
  6. Step 6: Final answer
    x = 14,311.66

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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.