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Finding the Fourth Proportional to 1,963.96, 2,711.39 and 1,301.70

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Solution

The fourth proportional to 1,963.96, 2,711.39 and 1,301.70 is: 1,797.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.96 : 2,711.39 = 1,301.70 : x
  2. Step 2: Convert to fraction form
    1,963.96/2,711.39 = 1,301.70/x
  3. Step 3: Cross multiply
    1,963.96x = 2,711.39 × 1,301.70
  4. Step 4: Simplify right side
    1,963.96x = 3,529,420.02
  5. Step 5: Solve for x
    x = 3,529,420.02/1,963.96
  6. Step 6: Final answer
    x = 1,797.10

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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.