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Finding the Fourth Proportional to 13,820.52, 20,736.90 and 7,245.14

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Solution

The fourth proportional to 13,820.52, 20,736.90 and 7,245.14 is: 10,870.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.52 : 20,736.90 = 7,245.14 : x
  2. Step 2: Convert to fraction form
    13,820.52/20,736.90 = 7,245.14/x
  3. Step 3: Cross multiply
    13,820.52x = 20,736.90 × 7,245.14
  4. Step 4: Simplify right side
    13,820.52x = 150,241,743.67
  5. Step 5: Solve for x
    x = 150,241,743.67/13,820.52
  6. Step 6: Final answer
    x = 10,870.92

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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.