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Finding the Fourth Proportional to 6,874.88, 10,312.45 and 2,257.88

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Solution

The fourth proportional to 6,874.88, 10,312.45 and 2,257.88 is: 3,386.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.88 : 10,312.45 = 2,257.88 : x
  2. Step 2: Convert to fraction form
    6,874.88/10,312.45 = 2,257.88/x
  3. Step 3: Cross multiply
    6,874.88x = 10,312.45 × 2,257.88
  4. Step 4: Simplify right side
    6,874.88x = 23,284,217.40
  5. Step 5: Solve for x
    x = 23,284,217.40/6,874.88
  6. Step 6: Final answer
    x = 3,386.86

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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.