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Finding the Fourth Proportional to 6,874.88, 10,312.25 and 1,943.87

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Solution

The fourth proportional to 6,874.88, 10,312.25 and 1,943.87 is: 2,915.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.88 : 10,312.25 = 1,943.87 : x
  2. Step 2: Convert to fraction form
    6,874.88/10,312.25 = 1,943.87/x
  3. Step 3: Cross multiply
    6,874.88x = 10,312.25 × 1,943.87
  4. Step 4: Simplify right side
    6,874.88x = 20,045,612.13
  5. Step 5: Solve for x
    x = 20,045,612.13/6,874.88
  6. Step 6: Final answer
    x = 2,915.78

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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.