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Finding the Fourth Proportional to 3,854.80, 5,316.84 and 2,458

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Solution

The fourth proportional to 3,854.80, 5,316.84 and 2,458 is: 3,390.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.80 : 5,316.84 = 2,458 : x
  2. Step 2: Convert to fraction form
    3,854.80/5,316.84 = 2,458/x
  3. Step 3: Cross multiply
    3,854.80x = 5,316.84 × 2,458
  4. Step 4: Simplify right side
    3,854.80x = 13,068,792.72
  5. Step 5: Solve for x
    x = 13,068,792.72/3,854.80
  6. Step 6: Final answer
    x = 3,390.26

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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.