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Finding the Fourth Proportional to 2,168.44, 3,252.51 and 868.99

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Solution

The fourth proportional to 2,168.44, 3,252.51 and 868.99 is: 1,303.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.44 : 3,252.51 = 868.99 : x
  2. Step 2: Convert to fraction form
    2,168.44/3,252.51 = 868.99/x
  3. Step 3: Cross multiply
    2,168.44x = 3,252.51 × 868.99
  4. Step 4: Simplify right side
    2,168.44x = 2,826,398.66
  5. Step 5: Solve for x
    x = 2,826,398.66/2,168.44
  6. Step 6: Final answer
    x = 1,303.42

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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.