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Finding the Fourth Proportional to 37,807.80, 52,174.97 and 20,813.76

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Solution

The fourth proportional to 37,807.80, 52,174.97 and 20,813.76 is: 28,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,807.80 : 52,174.97 = 20,813.76 : x
  2. Step 2: Convert to fraction form
    37,807.80/52,174.97 = 20,813.76/x
  3. Step 3: Cross multiply
    37,807.80x = 52,174.97 × 20,813.76
  4. Step 4: Simplify right side
    37,807.80x = 1,085,957,303.59
  5. Step 5: Solve for x
    x = 1,085,957,303.59/37,807.80
  6. Step 6: Final answer
    x = 28,723.10

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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.