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Finding the Fourth Proportional to 4,638.65, 6,949.87 and 3,863.63

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Solution

The fourth proportional to 4,638.65, 6,949.87 and 3,863.63 is: 5,788.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.65 : 6,949.87 = 3,863.63 : x
  2. Step 2: Convert to fraction form
    4,638.65/6,949.87 = 3,863.63/x
  3. Step 3: Cross multiply
    4,638.65x = 6,949.87 × 3,863.63
  4. Step 4: Simplify right side
    4,638.65x = 26,851,726.23
  5. Step 5: Solve for x
    x = 26,851,726.23/4,638.65
  6. Step 6: Final answer
    x = 5,788.69

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1.5x scale

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.