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Finding the Fourth Proportional to 18,500.24, 27,761.16 and 7,412.24

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Solution

The fourth proportional to 18,500.24, 27,761.16 and 7,412.24 is: 11,122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,500.24 : 27,761.16 = 7,412.24 : x
  2. Step 2: Convert to fraction form
    18,500.24/27,761.16 = 7,412.24/x
  3. Step 3: Cross multiply
    18,500.24x = 27,761.16 × 7,412.24
  4. Step 4: Simplify right side
    18,500.24x = 205,772,380.60
  5. Step 5: Solve for x
    x = 205,772,380.60/18,500.24
  6. Step 6: Final answer
    x = 11,122.69

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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.