Home / 3,022.32-4,532.77-831.23

Finding the Fourth Proportional to 3,022.32, 4,532.77 and 831.23

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Solution

The fourth proportional to 3,022.32, 4,532.77 and 831.23 is: 1,246.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.32 : 4,532.77 = 831.23 : x
  2. Step 2: Convert to fraction form
    3,022.32/4,532.77 = 831.23/x
  3. Step 3: Cross multiply
    3,022.32x = 4,532.77 × 831.23
  4. Step 4: Simplify right side
    3,022.32x = 3,767,774.41
  5. Step 5: Solve for x
    x = 3,767,774.41/3,022.32
  6. Step 6: Final answer
    x = 1,246.65

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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.