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Finding the Fourth Proportional to 7,121.64, 10,679.44 and 3,423

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Solution

The fourth proportional to 7,121.64, 10,679.44 and 3,423 is: 5,133.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.64 : 10,679.44 = 3,423 : x
  2. Step 2: Convert to fraction form
    7,121.64/10,679.44 = 3,423/x
  3. Step 3: Cross multiply
    7,121.64x = 10,679.44 × 3,423
  4. Step 4: Simplify right side
    7,121.64x = 36,555,723.12
  5. Step 5: Solve for x
    x = 36,555,723.12/7,121.64
  6. Step 6: Final answer
    x = 5,133.05

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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.