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Finding the Fourth Proportional to 7,412, 11,118.08 and 2,217.92

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Solution

The fourth proportional to 7,412, 11,118.08 and 2,217.92 is: 3,326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412 : 11,118.08 = 2,217.92 : x
  2. Step 2: Convert to fraction form
    7,412/11,118.08 = 2,217.92/x
  3. Step 3: Cross multiply
    7,412x = 11,118.08 × 2,217.92
  4. Step 4: Simplify right side
    7,412x = 24,659,011.99
  5. Step 5: Solve for x
    x = 24,659,011.99/7,412
  6. Step 6: Final answer
    x = 3,326.90

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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.