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Finding the Fourth Proportional to 2,854.60, 4,278.30 and 2,530.60

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Solution

The fourth proportional to 2,854.60, 4,278.30 and 2,530.60 is: 3,792.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.60 : 4,278.30 = 2,530.60 : x
  2. Step 2: Convert to fraction form
    2,854.60/4,278.30 = 2,530.60/x
  3. Step 3: Cross multiply
    2,854.60x = 4,278.30 × 2,530.60
  4. Step 4: Simplify right side
    2,854.60x = 10,826,665.98
  5. Step 5: Solve for x
    x = 10,826,665.98/2,854.60
  6. Step 6: Final answer
    x = 3,792.71

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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.