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Finding the Fourth Proportional to 2,718.80, 3,744.34 and 2,472.77

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Solution

The fourth proportional to 2,718.80, 3,744.34 and 2,472.77 is: 3,405.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.80 : 3,744.34 = 2,472.77 : x
  2. Step 2: Convert to fraction form
    2,718.80/3,744.34 = 2,472.77/x
  3. Step 3: Cross multiply
    2,718.80x = 3,744.34 × 2,472.77
  4. Step 4: Simplify right side
    2,718.80x = 9,258,891.62
  5. Step 5: Solve for x
    x = 9,258,891.62/2,718.80
  6. Step 6: Final answer
    x = 3,405.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.