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Finding the Fourth Proportional to 2,874.69, 3,968.08 and 1,695.69

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Solution

The fourth proportional to 2,874.69, 3,968.08 and 1,695.69 is: 2,340.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.69 : 3,968.08 = 1,695.69 : x
  2. Step 2: Convert to fraction form
    2,874.69/3,968.08 = 1,695.69/x
  3. Step 3: Cross multiply
    2,874.69x = 3,968.08 × 1,695.69
  4. Step 4: Simplify right side
    2,874.69x = 6,728,633.58
  5. Step 5: Solve for x
    x = 6,728,633.58/2,874.69
  6. Step 6: Final answer
    x = 2,340.65

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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.