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Finding the Fourth Proportional to 1,963.64, 2,709.92 and 1,124.44

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Solution

The fourth proportional to 1,963.64, 2,709.92 and 1,124.44 is: 1,551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.64 : 2,709.92 = 1,124.44 : x
  2. Step 2: Convert to fraction form
    1,963.64/2,709.92 = 1,124.44/x
  3. Step 3: Cross multiply
    1,963.64x = 2,709.92 × 1,124.44
  4. Step 4: Simplify right side
    1,963.64x = 3,047,123.27
  5. Step 5: Solve for x
    x = 3,047,123.27/1,963.64
  6. Step 6: Final answer
    x = 1,551.77

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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.