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Finding the Fourth Proportional to 2,177.84, 3,003.84 and 1,966.64

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Solution

The fourth proportional to 2,177.84, 3,003.84 and 1,966.64 is: 2,712.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.84 : 3,003.84 = 1,966.64 : x
  2. Step 2: Convert to fraction form
    2,177.84/3,003.84 = 1,966.64/x
  3. Step 3: Cross multiply
    2,177.84x = 3,003.84 × 1,966.64
  4. Step 4: Simplify right side
    2,177.84x = 5,907,471.90
  5. Step 5: Solve for x
    x = 5,907,471.90/2,177.84
  6. Step 6: Final answer
    x = 2,712.54

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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.