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Finding the Fourth Proportional to 2,874.95, 3,968.42 and 1,695.95

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Solution

The fourth proportional to 2,874.95, 3,968.42 and 1,695.95 is: 2,340.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.95 : 3,968.42 = 1,695.95 : x
  2. Step 2: Convert to fraction form
    2,874.95/3,968.42 = 1,695.95/x
  3. Step 3: Cross multiply
    2,874.95x = 3,968.42 × 1,695.95
  4. Step 4: Simplify right side
    2,874.95x = 6,730,241.90
  5. Step 5: Solve for x
    x = 6,730,241.90/2,874.95
  6. Step 6: Final answer
    x = 2,340.99

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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.