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Finding the Fourth Proportional to 2,957.92, 4,081.49 and 1,964.66

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Solution

The fourth proportional to 2,957.92, 4,081.49 and 1,964.66 is: 2,710.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.92 : 4,081.49 = 1,964.66 : x
  2. Step 2: Convert to fraction form
    2,957.92/4,081.49 = 1,964.66/x
  3. Step 3: Cross multiply
    2,957.92x = 4,081.49 × 1,964.66
  4. Step 4: Simplify right side
    2,957.92x = 8,018,717.28
  5. Step 5: Solve for x
    x = 8,018,717.28/2,957.92
  6. Step 6: Final answer
    x = 2,710.93

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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.