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Finding the Fourth Proportional to 36,542, 54,780.12 and 13,152

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Solution

The fourth proportional to 36,542, 54,780.12 and 13,152 is: 19,716.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,542 : 54,780.12 = 13,152 : x
  2. Step 2: Convert to fraction form
    36,542/54,780.12 = 13,152/x
  3. Step 3: Cross multiply
    36,542x = 54,780.12 × 13,152
  4. Step 4: Simplify right side
    36,542x = 720,468,138.24
  5. Step 5: Solve for x
    x = 720,468,138.24/36,542
  6. Step 6: Final answer
    x = 19,716.17

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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.