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Finding the Fourth Proportional to 2,703.84, 4,046.12 and 1,964.31

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Solution

The fourth proportional to 2,703.84, 4,046.12 and 1,964.31 is: 2,939.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.84 : 4,046.12 = 1,964.31 : x
  2. Step 2: Convert to fraction form
    2,703.84/4,046.12 = 1,964.31/x
  3. Step 3: Cross multiply
    2,703.84x = 4,046.12 × 1,964.31
  4. Step 4: Simplify right side
    2,703.84x = 7,947,833.98
  5. Step 5: Solve for x
    x = 7,947,833.98/2,703.84
  6. Step 6: Final answer
    x = 2,939.46

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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.