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Finding the Fourth Proportional to 37,800, 56,709.60 and 13,177.92

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Solution

The fourth proportional to 37,800, 56,709.60 and 13,177.92 is: 19,770.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,800 : 56,709.60 = 13,177.92 : x
  2. Step 2: Convert to fraction form
    37,800/56,709.60 = 13,177.92/x
  3. Step 3: Cross multiply
    37,800x = 56,709.60 × 13,177.92
  4. Step 4: Simplify right side
    37,800x = 747,314,572.03
  5. Step 5: Solve for x
    x = 747,314,572.03/37,800
  6. Step 6: Final answer
    x = 19,770.23

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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.