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Finding the Fourth Proportional to 2,874.97, 3,967.34 and 1,616.13

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Solution

The fourth proportional to 2,874.97, 3,967.34 and 1,616.13 is: 2,230.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.97 : 3,967.34 = 1,616.13 : x
  2. Step 2: Convert to fraction form
    2,874.97/3,967.34 = 1,616.13/x
  3. Step 3: Cross multiply
    2,874.97x = 3,967.34 × 1,616.13
  4. Step 4: Simplify right side
    2,874.97x = 6,411,737.19
  5. Step 5: Solve for x
    x = 6,411,737.19/2,874.97
  6. Step 6: Final answer
    x = 2,230.19

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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.