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Finding the Fourth Proportional to 3,854.58, 5,319 and 2,175.90

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Solution

The fourth proportional to 3,854.58, 5,319 and 2,175.90 is: 3,002.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.58 : 5,319 = 2,175.90 : x
  2. Step 2: Convert to fraction form
    3,854.58/5,319 = 2,175.90/x
  3. Step 3: Cross multiply
    3,854.58x = 5,319 × 2,175.90
  4. Step 4: Simplify right side
    3,854.58x = 11,573,612.10
  5. Step 5: Solve for x
    x = 11,573,612.10/3,854.58
  6. Step 6: Final answer
    x = 3,002.56

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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.