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Finding the Fourth Proportional to 3,883.61, 5,821.94 and 1,691.15

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Solution

The fourth proportional to 3,883.61, 5,821.94 and 1,691.15 is: 2,535.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.61 : 5,821.94 = 1,691.15 : x
  2. Step 2: Convert to fraction form
    3,883.61/5,821.94 = 1,691.15/x
  3. Step 3: Cross multiply
    3,883.61x = 5,821.94 × 1,691.15
  4. Step 4: Simplify right side
    3,883.61x = 9,845,748.95
  5. Step 5: Solve for x
    x = 9,845,748.95/3,883.61
  6. Step 6: Final answer
    x = 2,535.20

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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.