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Finding the Fourth Proportional to 1,142.86, 1,711.97 and 912.14

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Solution

The fourth proportional to 1,142.86, 1,711.97 and 912.14 is: 1,366.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.86 : 1,711.97 = 912.14 : x
  2. Step 2: Convert to fraction form
    1,142.86/1,711.97 = 912.14/x
  3. Step 3: Cross multiply
    1,142.86x = 1,711.97 × 912.14
  4. Step 4: Simplify right side
    1,142.86x = 1,561,556.32
  5. Step 5: Solve for x
    x = 1,561,556.32/1,142.86
  6. Step 6: Final answer
    x = 1,366.36

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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.