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Finding the Fourth Proportional to 18,642.88, 25,727.22 and 10,145

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Solution

The fourth proportional to 18,642.88, 25,727.22 and 10,145 is: 14,000.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.88 : 25,727.22 = 10,145 : x
  2. Step 2: Convert to fraction form
    18,642.88/25,727.22 = 10,145/x
  3. Step 3: Cross multiply
    18,642.88x = 25,727.22 × 10,145
  4. Step 4: Simplify right side
    18,642.88x = 261,002,646.90
  5. Step 5: Solve for x
    x = 261,002,646.90/18,642.88
  6. Step 6: Final answer
    x = 14,000.12

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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.