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Finding the Fourth Proportional to 37,807.70, 52,177.84 and 20,815.25

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Solution

The fourth proportional to 37,807.70, 52,177.84 and 20,815.25 is: 28,726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,807.70 : 52,177.84 = 20,815.25 : x
  2. Step 2: Convert to fraction form
    37,807.70/52,177.84 = 20,815.25/x
  3. Step 3: Cross multiply
    37,807.70x = 52,177.84 × 20,815.25
  4. Step 4: Simplify right side
    37,807.70x = 1,086,094,471.13
  5. Step 5: Solve for x
    x = 1,086,094,471.13/37,807.70
  6. Step 6: Final answer
    x = 28,726.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.