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Finding the Fourth Proportional to 3,881.85, 5,823.71 and 1,691.21

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Solution

The fourth proportional to 3,881.85, 5,823.71 and 1,691.21 is: 2,537.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.85 : 5,823.71 = 1,691.21 : x
  2. Step 2: Convert to fraction form
    3,881.85/5,823.71 = 1,691.21/x
  3. Step 3: Cross multiply
    3,881.85x = 5,823.71 × 1,691.21
  4. Step 4: Simplify right side
    3,881.85x = 9,849,079.01
  5. Step 5: Solve for x
    x = 9,849,079.01/3,881.85
  6. Step 6: Final answer
    x = 2,537.21

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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.