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Finding the Fourth Proportional to 1,960.71, 2,701.65 and 1,620.82

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Solution

The fourth proportional to 1,960.71, 2,701.65 and 1,620.82 is: 2,233.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.71 : 2,701.65 = 1,620.82 : x
  2. Step 2: Convert to fraction form
    1,960.71/2,701.65 = 1,620.82/x
  3. Step 3: Cross multiply
    1,960.71x = 2,701.65 × 1,620.82
  4. Step 4: Simplify right side
    1,960.71x = 4,378,888.35
  5. Step 5: Solve for x
    x = 4,378,888.35/1,960.71
  6. Step 6: Final answer
    x = 2,233.32

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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.