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Finding the Fourth Proportional to 2,708.60, 4,063.40 and 860.18

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Solution

The fourth proportional to 2,708.60, 4,063.40 and 860.18 is: 1,290.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.60 : 4,063.40 = 860.18 : x
  2. Step 2: Convert to fraction form
    2,708.60/4,063.40 = 860.18/x
  3. Step 3: Cross multiply
    2,708.60x = 4,063.40 × 860.18
  4. Step 4: Simplify right side
    2,708.60x = 3,495,251.11
  5. Step 5: Solve for x
    x = 3,495,251.11/2,708.60
  6. Step 6: Final answer
    x = 1,290.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.