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Finding the Fourth Proportional to 2,718.76, 3,747.80 and 1,669

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Solution

The fourth proportional to 2,718.76, 3,747.80 and 1,669 is: 2,300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.76 : 3,747.80 = 1,669 : x
  2. Step 2: Convert to fraction form
    2,718.76/3,747.80 = 1,669/x
  3. Step 3: Cross multiply
    2,718.76x = 3,747.80 × 1,669
  4. Step 4: Simplify right side
    2,718.76x = 6,255,078.20
  5. Step 5: Solve for x
    x = 6,255,078.20/2,718.76
  6. Step 6: Final answer
    x = 2,300.71

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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.