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Finding the Fourth Proportional to 6,948.69, 10,422.90 and 1,754.61

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Solution

The fourth proportional to 6,948.69, 10,422.90 and 1,754.61 is: 2,631.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.69 : 10,422.90 = 1,754.61 : x
  2. Step 2: Convert to fraction form
    6,948.69/10,422.90 = 1,754.61/x
  3. Step 3: Cross multiply
    6,948.69x = 10,422.90 × 1,754.61
  4. Step 4: Simplify right side
    6,948.69x = 18,288,124.57
  5. Step 5: Solve for x
    x = 18,288,124.57/6,948.69
  6. Step 6: Final answer
    x = 2,631.88

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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.