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Finding the Fourth Proportional to 13,811.20, 20,697.48 and 7,472.40

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Solution

The fourth proportional to 13,811.20, 20,697.48 and 7,472.40 is: 11,198.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.20 : 20,697.48 = 7,472.40 : x
  2. Step 2: Convert to fraction form
    13,811.20/20,697.48 = 7,472.40/x
  3. Step 3: Cross multiply
    13,811.20x = 20,697.48 × 7,472.40
  4. Step 4: Simplify right side
    13,811.20x = 154,659,849.55
  5. Step 5: Solve for x
    x = 154,659,849.55/13,811.20
  6. Step 6: Final answer
    x = 11,198.15

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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.