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Finding the Fourth Proportional to 3,854.48, 5,321.52 and 2,458

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Solution

The fourth proportional to 3,854.48, 5,321.52 and 2,458 is: 3,393.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.48 : 5,321.52 = 2,458 : x
  2. Step 2: Convert to fraction form
    3,854.48/5,321.52 = 2,458/x
  3. Step 3: Cross multiply
    3,854.48x = 5,321.52 × 2,458
  4. Step 4: Simplify right side
    3,854.48x = 13,080,296.16
  5. Step 5: Solve for x
    x = 13,080,296.16/3,854.48
  6. Step 6: Final answer
    x = 3,393.53

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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.