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Finding the Fourth Proportional to 1,963.64, 2,709.84 and 1,177.69

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Solution

The fourth proportional to 1,963.64, 2,709.84 and 1,177.69 is: 1,625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.64 : 2,709.84 = 1,177.69 : x
  2. Step 2: Convert to fraction form
    1,963.64/2,709.84 = 1,177.69/x
  3. Step 3: Cross multiply
    1,963.64x = 2,709.84 × 1,177.69
  4. Step 4: Simplify right side
    1,963.64x = 3,191,351.47
  5. Step 5: Solve for x
    x = 3,191,351.47/1,963.64
  6. Step 6: Final answer
    x = 1,625.22

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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.