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Finding the Fourth Proportional to 3,881.25, 5,822.42 and 1,247.87

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Solution

The fourth proportional to 3,881.25, 5,822.42 and 1,247.87 is: 1,871.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.25 : 5,822.42 = 1,247.87 : x
  2. Step 2: Convert to fraction form
    3,881.25/5,822.42 = 1,247.87/x
  3. Step 3: Cross multiply
    3,881.25x = 5,822.42 × 1,247.87
  4. Step 4: Simplify right side
    3,881.25x = 7,265,640.92
  5. Step 5: Solve for x
    x = 7,265,640.92/3,881.25
  6. Step 6: Final answer
    x = 1,871.98

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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.