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Finding the Fourth Proportional to 36,781.65, 55,180.65 and 13,408.08

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Solution

The fourth proportional to 36,781.65, 55,180.65 and 13,408.08 is: 20,115.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,781.65 : 55,180.65 = 13,408.08 : x
  2. Step 2: Convert to fraction form
    36,781.65/55,180.65 = 13,408.08/x
  3. Step 3: Cross multiply
    36,781.65x = 55,180.65 × 13,408.08
  4. Step 4: Simplify right side
    36,781.65x = 739,866,569.65
  5. Step 5: Solve for x
    x = 739,866,569.65/36,781.65
  6. Step 6: Final answer
    x = 20,115.10

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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.