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Finding the Fourth Proportional to 2,965.79, 4,092.68 and 1,639.47

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Solution

The fourth proportional to 2,965.79, 4,092.68 and 1,639.47 is: 2,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.79 : 4,092.68 = 1,639.47 : x
  2. Step 2: Convert to fraction form
    2,965.79/4,092.68 = 1,639.47/x
  3. Step 3: Cross multiply
    2,965.79x = 4,092.68 × 1,639.47
  4. Step 4: Simplify right side
    2,965.79x = 6,709,826.08
  5. Step 5: Solve for x
    x = 6,709,826.08/2,965.79
  6. Step 6: Final answer
    x = 2,262.41

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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.