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Finding the Fourth Proportional to 3,478.80, 5,218.24 and 1,630.79

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Solution

The fourth proportional to 3,478.80, 5,218.24 and 1,630.79 is: 2,446.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.80 : 5,218.24 = 1,630.79 : x
  2. Step 2: Convert to fraction form
    3,478.80/5,218.24 = 1,630.79/x
  3. Step 3: Cross multiply
    3,478.80x = 5,218.24 × 1,630.79
  4. Step 4: Simplify right side
    3,478.80x = 8,509,853.61
  5. Step 5: Solve for x
    x = 8,509,853.61/3,478.80
  6. Step 6: Final answer
    x = 2,446.20

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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.