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Finding the Fourth Proportional to 3,291.64, 4,542 and 1,874.87

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Solution

The fourth proportional to 3,291.64, 4,542 and 1,874.87 is: 2,587.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.64 : 4,542 = 1,874.87 : x
  2. Step 2: Convert to fraction form
    3,291.64/4,542 = 1,874.87/x
  3. Step 3: Cross multiply
    3,291.64x = 4,542 × 1,874.87
  4. Step 4: Simplify right side
    3,291.64x = 8,515,659.54
  5. Step 5: Solve for x
    x = 8,515,659.54/3,291.64
  6. Step 6: Final answer
    x = 2,587.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.