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Finding the Fourth Proportional to 4,857, 6,702.66 and 2,649

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Solution

The fourth proportional to 4,857, 6,702.66 and 2,649 is: 3,655.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857 : 6,702.66 = 2,649 : x
  2. Step 2: Convert to fraction form
    4,857/6,702.66 = 2,649/x
  3. Step 3: Cross multiply
    4,857x = 6,702.66 × 2,649
  4. Step 4: Simplify right side
    4,857x = 17,755,346.34
  5. Step 5: Solve for x
    x = 17,755,346.34/4,857
  6. Step 6: Final answer
    x = 3,655.62

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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.