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Finding the Fourth Proportional to 12,380.57, 18,561.62 and 7,449.06

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Solution

The fourth proportional to 12,380.57, 18,561.62 and 7,449.06 is: 11,168.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.57 : 18,561.62 = 7,449.06 : x
  2. Step 2: Convert to fraction form
    12,380.57/18,561.62 = 7,449.06/x
  3. Step 3: Cross multiply
    12,380.57x = 18,561.62 × 7,449.06
  4. Step 4: Simplify right side
    12,380.57x = 138,266,621.08
  5. Step 5: Solve for x
    x = 138,266,621.08/12,380.57
  6. Step 6: Final answer
    x = 11,168.03

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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.