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Finding the Fourth Proportional to 2,874.72, 3,967.36 and 1,616

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Solution

The fourth proportional to 2,874.72, 3,967.36 and 1,616 is: 2,230.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.72 : 3,967.36 = 1,616 : x
  2. Step 2: Convert to fraction form
    2,874.72/3,967.36 = 1,616/x
  3. Step 3: Cross multiply
    2,874.72x = 3,967.36 × 1,616
  4. Step 4: Simplify right side
    2,874.72x = 6,411,253.76
  5. Step 5: Solve for x
    x = 6,411,253.76/2,874.72
  6. Step 6: Final answer
    x = 2,230.22

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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.