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Finding the Fourth Proportional to 2,854.15, 4,281.89 and 879.70

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Solution

The fourth proportional to 2,854.15, 4,281.89 and 879.70 is: 1,319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.15 : 4,281.89 = 879.70 : x
  2. Step 2: Convert to fraction form
    2,854.15/4,281.89 = 879.70/x
  3. Step 3: Cross multiply
    2,854.15x = 4,281.89 × 879.70
  4. Step 4: Simplify right side
    2,854.15x = 3,766,778.63
  5. Step 5: Solve for x
    x = 3,766,778.63/2,854.15
  6. Step 6: Final answer
    x = 1,319.75

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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.