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Finding the Fourth Proportional to 2,712.94, 3,742.14 and 1,718.80

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Solution

The fourth proportional to 2,712.94, 3,742.14 and 1,718.80 is: 2,370.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.94 : 3,742.14 = 1,718.80 : x
  2. Step 2: Convert to fraction form
    2,712.94/3,742.14 = 1,718.80/x
  3. Step 3: Cross multiply
    2,712.94x = 3,742.14 × 1,718.80
  4. Step 4: Simplify right side
    2,712.94x = 6,431,990.23
  5. Step 5: Solve for x
    x = 6,431,990.23/2,712.94
  6. Step 6: Final answer
    x = 2,370.86

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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.