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Finding the Fourth Proportional to 6,461.85, 8,915.97 and 4,227

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Solution

The fourth proportional to 6,461.85, 8,915.97 and 4,227 is: 5,832.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.85 : 8,915.97 = 4,227 : x
  2. Step 2: Convert to fraction form
    6,461.85/8,915.97 = 4,227/x
  3. Step 3: Cross multiply
    6,461.85x = 8,915.97 × 4,227
  4. Step 4: Simplify right side
    6,461.85x = 37,687,805.19
  5. Step 5: Solve for x
    x = 37,687,805.19/6,461.85
  6. Step 6: Final answer
    x = 5,832.36

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1.5x scale

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.