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Finding the Fourth Proportional to 4,638.68, 6,964.97 and 4,015.90

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Solution

The fourth proportional to 4,638.68, 6,964.97 and 4,015.90 is: 6,029.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.68 : 6,964.97 = 4,015.90 : x
  2. Step 2: Convert to fraction form
    4,638.68/6,964.97 = 4,015.90/x
  3. Step 3: Cross multiply
    4,638.68x = 6,964.97 × 4,015.90
  4. Step 4: Simplify right side
    4,638.68x = 27,970,623.02
  5. Step 5: Solve for x
    x = 27,970,623.02/4,638.68
  6. Step 6: Final answer
    x = 6,029.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.