Home / 2,001.32-3,002.67-831.95

Finding the Fourth Proportional to 2,001.32, 3,002.67 and 831.95

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Solution

The fourth proportional to 2,001.32, 3,002.67 and 831.95 is: 1,248.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.32 : 3,002.67 = 831.95 : x
  2. Step 2: Convert to fraction form
    2,001.32/3,002.67 = 831.95/x
  3. Step 3: Cross multiply
    2,001.32x = 3,002.67 × 831.95
  4. Step 4: Simplify right side
    2,001.32x = 2,498,071.31
  5. Step 5: Solve for x
    x = 2,498,071.31/2,001.32
  6. Step 6: Final answer
    x = 1,248.21

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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.