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Finding the Fourth Proportional to 1,355.12, 1,869.96 and 831.08

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Solution

The fourth proportional to 1,355.12, 1,869.96 and 831.08 is: 1,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.12 : 1,869.96 = 831.08 : x
  2. Step 2: Convert to fraction form
    1,355.12/1,869.96 = 831.08/x
  3. Step 3: Cross multiply
    1,355.12x = 1,869.96 × 831.08
  4. Step 4: Simplify right side
    1,355.12x = 1,554,086.36
  5. Step 5: Solve for x
    x = 1,554,086.36/1,355.12
  6. Step 6: Final answer
    x = 1,146.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.