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Finding the Fourth Proportional to 7,197.46, 10,776.12 and 3,679.90

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Solution

The fourth proportional to 7,197.46, 10,776.12 and 3,679.90 is: 5,509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.46 : 10,776.12 = 3,679.90 : x
  2. Step 2: Convert to fraction form
    7,197.46/10,776.12 = 3,679.90/x
  3. Step 3: Cross multiply
    7,197.46x = 10,776.12 × 3,679.90
  4. Step 4: Simplify right side
    7,197.46x = 39,655,043.99
  5. Step 5: Solve for x
    x = 39,655,043.99/7,197.46
  6. Step 6: Final answer
    x = 5,509.59

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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.