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Finding the Fourth Proportional to 4,845, 6,686.18 and 2,637

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Solution

The fourth proportional to 4,845, 6,686.18 and 2,637 is: 3,639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,845 : 6,686.18 = 2,637 : x
  2. Step 2: Convert to fraction form
    4,845/6,686.18 = 2,637/x
  3. Step 3: Cross multiply
    4,845x = 6,686.18 × 2,637
  4. Step 4: Simplify right side
    4,845x = 17,631,456.66
  5. Step 5: Solve for x
    x = 17,631,456.66/4,845
  6. Step 6: Final answer
    x = 3,639.10

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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.