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Finding the Fourth Proportional to 2,616.80, 3,921.84 and 971.84

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Solution

The fourth proportional to 2,616.80, 3,921.84 and 971.84 is: 1,456.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.80 : 3,921.84 = 971.84 : x
  2. Step 2: Convert to fraction form
    2,616.80/3,921.84 = 971.84/x
  3. Step 3: Cross multiply
    2,616.80x = 3,921.84 × 971.84
  4. Step 4: Simplify right side
    2,616.80x = 3,811,400.99
  5. Step 5: Solve for x
    x = 3,811,400.99/2,616.80
  6. Step 6: Final answer
    x = 1,456.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.