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Finding the Fourth Proportional to 2,596.95, 3,891.78 and 1,946.97

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Solution

The fourth proportional to 2,596.95, 3,891.78 and 1,946.97 is: 2,917.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.95 : 3,891.78 = 1,946.97 : x
  2. Step 2: Convert to fraction form
    2,596.95/3,891.78 = 1,946.97/x
  3. Step 3: Cross multiply
    2,596.95x = 3,891.78 × 1,946.97
  4. Step 4: Simplify right side
    2,596.95x = 7,577,178.91
  5. Step 5: Solve for x
    x = 7,577,178.91/2,596.95
  6. Step 6: Final answer
    x = 2,917.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.