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Finding the Fourth Proportional to 13,842.60, 20,766.60 and 5,521.20

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Solution

The fourth proportional to 13,842.60, 20,766.60 and 5,521.20 is: 8,282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.60 : 20,766.60 = 5,521.20 : x
  2. Step 2: Convert to fraction form
    13,842.60/20,766.60 = 5,521.20/x
  3. Step 3: Cross multiply
    13,842.60x = 20,766.60 × 5,521.20
  4. Step 4: Simplify right side
    13,842.60x = 114,656,551.92
  5. Step 5: Solve for x
    x = 114,656,551.92/13,842.60
  6. Step 6: Final answer
    x = 8,282.88

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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.