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Finding the Fourth Proportional to 5,012, 6,915.70 and 3,219.88

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Solution

The fourth proportional to 5,012, 6,915.70 and 3,219.88 is: 4,442.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,012 : 6,915.70 = 3,219.88 : x
  2. Step 2: Convert to fraction form
    5,012/6,915.70 = 3,219.88/x
  3. Step 3: Cross multiply
    5,012x = 6,915.70 × 3,219.88
  4. Step 4: Simplify right side
    5,012x = 22,267,673.44
  5. Step 5: Solve for x
    x = 22,267,673.44/5,012
  6. Step 6: Final answer
    x = 4,442.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.