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Finding the Fourth Proportional to 6,915.72, 10,377.90 and 2,811.72

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Solution

The fourth proportional to 6,915.72, 10,377.90 and 2,811.72 is: 4,219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.72 : 10,377.90 = 2,811.72 : x
  2. Step 2: Convert to fraction form
    6,915.72/10,377.90 = 2,811.72/x
  3. Step 3: Cross multiply
    6,915.72x = 10,377.90 × 2,811.72
  4. Step 4: Simplify right side
    6,915.72x = 29,179,748.99
  5. Step 5: Solve for x
    x = 29,179,748.99/6,915.72
  6. Step 6: Final answer
    x = 4,219.34

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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.