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Finding the Fourth Proportional to 37,459.80, 56,189.70 and 20,811.87

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Solution

The fourth proportional to 37,459.80, 56,189.70 and 20,811.87 is: 31,217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,459.80 : 56,189.70 = 20,811.87 : x
  2. Step 2: Convert to fraction form
    37,459.80/56,189.70 = 20,811.87/x
  3. Step 3: Cross multiply
    37,459.80x = 56,189.70 × 20,811.87
  4. Step 4: Simplify right side
    37,459.80x = 1,169,412,731.74
  5. Step 5: Solve for x
    x = 1,169,412,731.74/37,459.80
  6. Step 6: Final answer
    x = 31,217.81

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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.