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Finding the Fourth Proportional to 2,000.95, 3,003.61 and 831.78

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Solution

The fourth proportional to 2,000.95, 3,003.61 and 831.78 is: 1,248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.95 : 3,003.61 = 831.78 : x
  2. Step 2: Convert to fraction form
    2,000.95/3,003.61 = 831.78/x
  3. Step 3: Cross multiply
    2,000.95x = 3,003.61 × 831.78
  4. Step 4: Simplify right side
    2,000.95x = 2,498,342.73
  5. Step 5: Solve for x
    x = 2,498,342.73/2,000.95
  6. Step 6: Final answer
    x = 1,248.58

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1.5x scale

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.