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Finding the Fourth Proportional to 1,287.43, 1,938.16 and 879.14

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Solution

The fourth proportional to 1,287.43, 1,938.16 and 879.14 is: 1,323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.43 : 1,938.16 = 879.14 : x
  2. Step 2: Convert to fraction form
    1,287.43/1,938.16 = 879.14/x
  3. Step 3: Cross multiply
    1,287.43x = 1,938.16 × 879.14
  4. Step 4: Simplify right side
    1,287.43x = 1,703,919.93
  5. Step 5: Solve for x
    x = 1,703,919.93/1,287.43
  6. Step 6: Final answer
    x = 1,323.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.