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Finding the Fourth Proportional to 3,581.84, 5,373 and 1,241.72

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Solution

The fourth proportional to 3,581.84, 5,373 and 1,241.72 is: 1,862.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.84 : 5,373 = 1,241.72 : x
  2. Step 2: Convert to fraction form
    3,581.84/5,373 = 1,241.72/x
  3. Step 3: Cross multiply
    3,581.84x = 5,373 × 1,241.72
  4. Step 4: Simplify right side
    3,581.84x = 6,671,761.56
  5. Step 5: Solve for x
    x = 6,671,761.56/3,581.84
  6. Step 6: Final answer
    x = 1,862.66

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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.