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Finding the Fourth Proportional to 4,877, 6,730.28 and 2,638.90

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Solution

The fourth proportional to 4,877, 6,730.28 and 2,638.90 is: 3,641.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877 : 6,730.28 = 2,638.90 : x
  2. Step 2: Convert to fraction form
    4,877/6,730.28 = 2,638.90/x
  3. Step 3: Cross multiply
    4,877x = 6,730.28 × 2,638.90
  4. Step 4: Simplify right side
    4,877x = 17,760,535.89
  5. Step 5: Solve for x
    x = 17,760,535.89/4,877
  6. Step 6: Final answer
    x = 3,641.69

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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.