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Finding the Fourth Proportional to 38,509.70, 57,764.55 and 36,978.80

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Solution

The fourth proportional to 38,509.70, 57,764.55 and 36,978.80 is: 55,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,509.70 : 57,764.55 = 36,978.80 : x
  2. Step 2: Convert to fraction form
    38,509.70/57,764.55 = 36,978.80/x
  3. Step 3: Cross multiply
    38,509.70x = 57,764.55 × 36,978.80
  4. Step 4: Simplify right side
    38,509.70x = 2,136,063,741.54
  5. Step 5: Solve for x
    x = 2,136,063,741.54/38,509.70
  6. Step 6: Final answer
    x = 55,468.20

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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.