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Finding the Fourth Proportional to 7,148.60, 10,723.70 and 2,218.20

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Solution

The fourth proportional to 7,148.60, 10,723.70 and 2,218.20 is: 3,327.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.60 : 10,723.70 = 2,218.20 : x
  2. Step 2: Convert to fraction form
    7,148.60/10,723.70 = 2,218.20/x
  3. Step 3: Cross multiply
    7,148.60x = 10,723.70 × 2,218.20
  4. Step 4: Simplify right side
    7,148.60x = 23,787,311.34
  5. Step 5: Solve for x
    x = 23,787,311.34/7,148.60
  6. Step 6: Final answer
    x = 3,327.55

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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.