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Finding the Fourth Proportional to 7,704.32, 11,562.97 and 7,218.32

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Solution

The fourth proportional to 7,704.32, 11,562.97 and 7,218.32 is: 10,833.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.32 : 11,562.97 = 7,218.32 : x
  2. Step 2: Convert to fraction form
    7,704.32/11,562.97 = 7,218.32/x
  3. Step 3: Cross multiply
    7,704.32x = 11,562.97 × 7,218.32
  4. Step 4: Simplify right side
    7,704.32x = 83,465,228.47
  5. Step 5: Solve for x
    x = 83,465,228.47/7,704.32
  6. Step 6: Final answer
    x = 10,833.56

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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.