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Finding the Fourth Proportional to 37,319.28, 55,978.32 and 13,626.72

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Solution

The fourth proportional to 37,319.28, 55,978.32 and 13,626.72 is: 20,439.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,319.28 : 55,978.32 = 13,626.72 : x
  2. Step 2: Convert to fraction form
    37,319.28/55,978.32 = 13,626.72/x
  3. Step 3: Cross multiply
    37,319.28x = 55,978.32 × 13,626.72
  4. Step 4: Simplify right side
    37,319.28x = 762,800,750.12
  5. Step 5: Solve for x
    x = 762,800,750.12/37,319.28
  6. Step 6: Final answer
    x = 20,439.86

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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.