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Finding the Fourth Proportional to 3,217.60, 4,826.40 and 3,174.40

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Solution

The fourth proportional to 3,217.60, 4,826.40 and 3,174.40 is: 4,761.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217.60 : 4,826.40 = 3,174.40 : x
  2. Step 2: Convert to fraction form
    3,217.60/4,826.40 = 3,174.40/x
  3. Step 3: Cross multiply
    3,217.60x = 4,826.40 × 3,174.40
  4. Step 4: Simplify right side
    3,217.60x = 15,320,924.16
  5. Step 5: Solve for x
    x = 15,320,924.16/3,217.60
  6. Step 6: Final answer
    x = 4,761.60

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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.