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Finding the Fourth Proportional to 3,720.67, 5,581.02 and 1,255.50

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Solution

The fourth proportional to 3,720.67, 5,581.02 and 1,255.50 is: 1,883.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.67 : 5,581.02 = 1,255.50 : x
  2. Step 2: Convert to fraction form
    3,720.67/5,581.02 = 1,255.50/x
  3. Step 3: Cross multiply
    3,720.67x = 5,581.02 × 1,255.50
  4. Step 4: Simplify right side
    3,720.67x = 7,006,970.61
  5. Step 5: Solve for x
    x = 7,006,970.61/3,720.67
  6. Step 6: Final answer
    x = 1,883.26

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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.