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Finding the Fourth Proportional to 1,902.39, 2,854.53 and 863.13

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Solution

The fourth proportional to 1,902.39, 2,854.53 and 863.13 is: 1,295.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.39 : 2,854.53 = 863.13 : x
  2. Step 2: Convert to fraction form
    1,902.39/2,854.53 = 863.13/x
  3. Step 3: Cross multiply
    1,902.39x = 2,854.53 × 863.13
  4. Step 4: Simplify right side
    1,902.39x = 2,463,830.48
  5. Step 5: Solve for x
    x = 2,463,830.48/1,902.39
  6. Step 6: Final answer
    x = 1,295.12

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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.