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Finding the Fourth Proportional to 1,818.68, 2,725.61 and 831.62

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Solution

The fourth proportional to 1,818.68, 2,725.61 and 831.62 is: 1,246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.68 : 2,725.61 = 831.62 : x
  2. Step 2: Convert to fraction form
    1,818.68/2,725.61 = 831.62/x
  3. Step 3: Cross multiply
    1,818.68x = 2,725.61 × 831.62
  4. Step 4: Simplify right side
    1,818.68x = 2,266,654.00
  5. Step 5: Solve for x
    x = 2,266,654.00/1,818.68
  6. Step 6: Final answer
    x = 1,246.32

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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.