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Finding the Fourth Proportional to 3,963.88, 5,946.34 and 1,854.04

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Solution

The fourth proportional to 3,963.88, 5,946.34 and 1,854.04 is: 2,781.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.88 : 5,946.34 = 1,854.04 : x
  2. Step 2: Convert to fraction form
    3,963.88/5,946.34 = 1,854.04/x
  3. Step 3: Cross multiply
    3,963.88x = 5,946.34 × 1,854.04
  4. Step 4: Simplify right side
    3,963.88x = 11,024,752.21
  5. Step 5: Solve for x
    x = 11,024,752.21/3,963.88
  6. Step 6: Final answer
    x = 2,781.30

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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.