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Finding the Fourth Proportional to 2,874.05, 3,966.66 and 1,695.77

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Solution

The fourth proportional to 2,874.05, 3,966.66 and 1,695.77 is: 2,340.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.05 : 3,966.66 = 1,695.77 : x
  2. Step 2: Convert to fraction form
    2,874.05/3,966.66 = 1,695.77/x
  3. Step 3: Cross multiply
    2,874.05x = 3,966.66 × 1,695.77
  4. Step 4: Simplify right side
    2,874.05x = 6,726,523.19
  5. Step 5: Solve for x
    x = 6,726,523.19/2,874.05
  6. Step 6: Final answer
    x = 2,340.44

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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.