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Finding the Fourth Proportional to 1,287.16, 1,930.76 and 849.24

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Solution

The fourth proportional to 1,287.16, 1,930.76 and 849.24 is: 1,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.16 : 1,930.76 = 849.24 : x
  2. Step 2: Convert to fraction form
    1,287.16/1,930.76 = 849.24/x
  3. Step 3: Cross multiply
    1,287.16x = 1,930.76 × 849.24
  4. Step 4: Simplify right side
    1,287.16x = 1,639,678.62
  5. Step 5: Solve for x
    x = 1,639,678.62/1,287.16
  6. Step 6: Final answer
    x = 1,273.87

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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.