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Finding the Fourth Proportional to 2,718.50, 4,065.29 and 2,025.65

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Solution

The fourth proportional to 2,718.50, 4,065.29 and 2,025.65 is: 3,029.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.50 : 4,065.29 = 2,025.65 : x
  2. Step 2: Convert to fraction form
    2,718.50/4,065.29 = 2,025.65/x
  3. Step 3: Cross multiply
    2,718.50x = 4,065.29 × 2,025.65
  4. Step 4: Simplify right side
    2,718.50x = 8,234,854.69
  5. Step 5: Solve for x
    x = 8,234,854.69/2,718.50
  6. Step 6: Final answer
    x = 3,029.19

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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.