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Finding the Fourth Proportional to 2,064.73, 3,097.19 and 831.97

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Solution

The fourth proportional to 2,064.73, 3,097.19 and 831.97 is: 1,248.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.73 : 3,097.19 = 831.97 : x
  2. Step 2: Convert to fraction form
    2,064.73/3,097.19 = 831.97/x
  3. Step 3: Cross multiply
    2,064.73x = 3,097.19 × 831.97
  4. Step 4: Simplify right side
    2,064.73x = 2,576,769.16
  5. Step 5: Solve for x
    x = 2,576,769.16/2,064.73
  6. Step 6: Final answer
    x = 1,248.00

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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.