Home / 8,121.12-12,180-4,223.52

Finding the Fourth Proportional to 8,121.12, 12,180 and 4,223.52

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Solution

The fourth proportional to 8,121.12, 12,180 and 4,223.52 is: 6,334.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.12 : 12,180 = 4,223.52 : x
  2. Step 2: Convert to fraction form
    8,121.12/12,180 = 4,223.52/x
  3. Step 3: Cross multiply
    8,121.12x = 12,180 × 4,223.52
  4. Step 4: Simplify right side
    8,121.12x = 51,442,473.60
  5. Step 5: Solve for x
    x = 51,442,473.60/8,121.12
  6. Step 6: Final answer
    x = 6,334.41

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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.