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Finding the Fourth Proportional to 5,701.60, 7,867.20 and 3,217.60

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Solution

The fourth proportional to 5,701.60, 7,867.20 and 3,217.60 is: 4,439.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.60 : 7,867.20 = 3,217.60 : x
  2. Step 2: Convert to fraction form
    5,701.60/7,867.20 = 3,217.60/x
  3. Step 3: Cross multiply
    5,701.60x = 7,867.20 × 3,217.60
  4. Step 4: Simplify right side
    5,701.60x = 25,313,502.72
  5. Step 5: Solve for x
    x = 25,313,502.72/5,701.60
  6. Step 6: Final answer
    x = 4,439.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.