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Finding the Fourth Proportional to 3,777.56, 5,662.20 and 1,587.68

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Solution

The fourth proportional to 3,777.56, 5,662.20 and 1,587.68 is: 2,379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.56 : 5,662.20 = 1,587.68 : x
  2. Step 2: Convert to fraction form
    3,777.56/5,662.20 = 1,587.68/x
  3. Step 3: Cross multiply
    3,777.56x = 5,662.20 × 1,587.68
  4. Step 4: Simplify right side
    3,777.56x = 8,989,761.70
  5. Step 5: Solve for x
    x = 8,989,761.70/3,777.56
  6. Step 6: Final answer
    x = 2,379.78

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1.5x scale

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.