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Finding the Fourth Proportional to 3,473.20, 5,209.80 and 3,114.80

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Solution

The fourth proportional to 3,473.20, 5,209.80 and 3,114.80 is: 4,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.20 : 5,209.80 = 3,114.80 : x
  2. Step 2: Convert to fraction form
    3,473.20/5,209.80 = 3,114.80/x
  3. Step 3: Cross multiply
    3,473.20x = 5,209.80 × 3,114.80
  4. Step 4: Simplify right side
    3,473.20x = 16,227,485.04
  5. Step 5: Solve for x
    x = 16,227,485.04/3,473.20
  6. Step 6: Final answer
    x = 4,672.20

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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.