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Finding the Fourth Proportional to 36,438, 54,656.04 and 10,141.68

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Solution

The fourth proportional to 36,438, 54,656.04 and 10,141.68 is: 15,212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,438 : 54,656.04 = 10,141.68 : x
  2. Step 2: Convert to fraction form
    36,438/54,656.04 = 10,141.68/x
  3. Step 3: Cross multiply
    36,438x = 54,656.04 × 10,141.68
  4. Step 4: Simplify right side
    36,438x = 554,304,067.75
  5. Step 5: Solve for x
    x = 554,304,067.75/36,438
  6. Step 6: Final answer
    x = 15,212.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.