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Finding the Fourth Proportional to 18,344.32, 27,525.64 and 7,821.20

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Solution

The fourth proportional to 18,344.32, 27,525.64 and 7,821.20 is: 11,735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,344.32 : 27,525.64 = 7,821.20 : x
  2. Step 2: Convert to fraction form
    18,344.32/27,525.64 = 7,821.20/x
  3. Step 3: Cross multiply
    18,344.32x = 27,525.64 × 7,821.20
  4. Step 4: Simplify right side
    18,344.32x = 215,283,535.57
  5. Step 5: Solve for x
    x = 215,283,535.57/18,344.32
  6. Step 6: Final answer
    x = 11,735.71

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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.