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Finding the Fourth Proportional to 7,106.75, 10,660.17 and 2,489.75

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Solution

The fourth proportional to 7,106.75, 10,660.17 and 2,489.75 is: 3,734.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.75 : 10,660.17 = 2,489.75 : x
  2. Step 2: Convert to fraction form
    7,106.75/10,660.17 = 2,489.75/x
  3. Step 3: Cross multiply
    7,106.75x = 10,660.17 × 2,489.75
  4. Step 4: Simplify right side
    7,106.75x = 26,541,158.26
  5. Step 5: Solve for x
    x = 26,541,158.26/7,106.75
  6. Step 6: Final answer
    x = 3,734.64

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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.