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Finding the Fourth Proportional to 36,952, 55,432.80 and 13,578.72

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Solution

The fourth proportional to 36,952, 55,432.80 and 13,578.72 is: 20,369.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,952 : 55,432.80 = 13,578.72 : x
  2. Step 2: Convert to fraction form
    36,952/55,432.80 = 13,578.72/x
  3. Step 3: Cross multiply
    36,952x = 55,432.80 × 13,578.72
  4. Step 4: Simplify right side
    36,952x = 752,706,470.02
  5. Step 5: Solve for x
    x = 752,706,470.02/36,952
  6. Step 6: Final answer
    x = 20,369.84

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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.