Home / 3,023.01-4,534.41-831.90

Finding the Fourth Proportional to 3,023.01, 4,534.41 and 831.90

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Solution

The fourth proportional to 3,023.01, 4,534.41 and 831.90 is: 1,247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.01 : 4,534.41 = 831.90 : x
  2. Step 2: Convert to fraction form
    3,023.01/4,534.41 = 831.90/x
  3. Step 3: Cross multiply
    3,023.01x = 4,534.41 × 831.90
  4. Step 4: Simplify right side
    3,023.01x = 3,772,175.68
  5. Step 5: Solve for x
    x = 3,772,175.68/3,023.01
  6. Step 6: Final answer
    x = 1,247.82

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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.