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Finding the Fourth Proportional to 3,518, 4,854.92 and 2,278.16

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Solution

The fourth proportional to 3,518, 4,854.92 and 2,278.16 is: 3,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518 : 4,854.92 = 2,278.16 : x
  2. Step 2: Convert to fraction form
    3,518/4,854.92 = 2,278.16/x
  3. Step 3: Cross multiply
    3,518x = 4,854.92 × 2,278.16
  4. Step 4: Simplify right side
    3,518x = 11,060,284.55
  5. Step 5: Solve for x
    x = 11,060,284.55/3,518
  6. Step 6: Final answer
    x = 3,143.91

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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.