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Finding the Fourth Proportional to 4,887, 6,744 and 2,648.85

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Solution

The fourth proportional to 4,887, 6,744 and 2,648.85 is: 3,655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887 : 6,744 = 2,648.85 : x
  2. Step 2: Convert to fraction form
    4,887/6,744 = 2,648.85/x
  3. Step 3: Cross multiply
    4,887x = 6,744 × 2,648.85
  4. Step 4: Simplify right side
    4,887x = 17,863,844.40
  5. Step 5: Solve for x
    x = 17,863,844.40/4,887
  6. Step 6: Final answer
    x = 3,655.38

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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.