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Finding the Fourth Proportional to 3,180.80, 4,772.12 and 989.55

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Solution

The fourth proportional to 3,180.80, 4,772.12 and 989.55 is: 1,484.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.80 : 4,772.12 = 989.55 : x
  2. Step 2: Convert to fraction form
    3,180.80/4,772.12 = 989.55/x
  3. Step 3: Cross multiply
    3,180.80x = 4,772.12 × 989.55
  4. Step 4: Simplify right side
    3,180.80x = 4,722,246.40
  5. Step 5: Solve for x
    x = 4,722,246.40/3,180.80
  6. Step 6: Final answer
    x = 1,484.61

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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.