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Finding the Fourth Proportional to 18,753.29, 25,878.47 and 10,253.82

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Solution

The fourth proportional to 18,753.29, 25,878.47 and 10,253.82 is: 14,149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,753.29 : 25,878.47 = 10,253.82 : x
  2. Step 2: Convert to fraction form
    18,753.29/25,878.47 = 10,253.82/x
  3. Step 3: Cross multiply
    18,753.29x = 25,878.47 × 10,253.82
  4. Step 4: Simplify right side
    18,753.29x = 265,353,121.99
  5. Step 5: Solve for x
    x = 265,353,121.99/18,753.29
  6. Step 6: Final answer
    x = 14,149.69

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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.