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Finding the Fourth Proportional to 2,718.50, 4,078.04 and 868.95

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Solution

The fourth proportional to 2,718.50, 4,078.04 and 868.95 is: 1,303.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.50 : 4,078.04 = 868.95 : x
  2. Step 2: Convert to fraction form
    2,718.50/4,078.04 = 868.95/x
  3. Step 3: Cross multiply
    2,718.50x = 4,078.04 × 868.95
  4. Step 4: Simplify right side
    2,718.50x = 3,543,608.51
  5. Step 5: Solve for x
    x = 3,543,608.51/2,718.50
  6. Step 6: Final answer
    x = 1,303.52

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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.