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Finding the Fourth Proportional to 13,507.20, 20,251.20 and 6,115.20

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Solution

The fourth proportional to 13,507.20, 20,251.20 and 6,115.20 is: 9,168.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.20 : 20,251.20 = 6,115.20 : x
  2. Step 2: Convert to fraction form
    13,507.20/20,251.20 = 6,115.20/x
  3. Step 3: Cross multiply
    13,507.20x = 20,251.20 × 6,115.20
  4. Step 4: Simplify right side
    13,507.20x = 123,840,138.24
  5. Step 5: Solve for x
    x = 123,840,138.24/13,507.20
  6. Step 6: Final answer
    x = 9,168.45

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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.