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Finding the Fourth Proportional to 5,651.60, 8,478.12 and 2,188.40

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Solution

The fourth proportional to 5,651.60, 8,478.12 and 2,188.40 is: 3,282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.60 : 8,478.12 = 2,188.40 : x
  2. Step 2: Convert to fraction form
    5,651.60/8,478.12 = 2,188.40/x
  3. Step 3: Cross multiply
    5,651.60x = 8,478.12 × 2,188.40
  4. Step 4: Simplify right side
    5,651.60x = 18,553,517.81
  5. Step 5: Solve for x
    x = 18,553,517.81/5,651.60
  6. Step 6: Final answer
    x = 3,282.88

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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.