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Finding the Fourth Proportional to 7,079.32, 10,619 and 2,149

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Solution

The fourth proportional to 7,079.32, 10,619 and 2,149 is: 3,223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,079.32 : 10,619 = 2,149 : x
  2. Step 2: Convert to fraction form
    7,079.32/10,619 = 2,149/x
  3. Step 3: Cross multiply
    7,079.32x = 10,619 × 2,149
  4. Step 4: Simplify right side
    7,079.32x = 22,820,231
  5. Step 5: Solve for x
    x = 22,820,231/7,079.32
  6. Step 6: Final answer
    x = 3,223.51

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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.