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Finding the Fourth Proportional to 1,957.82, 2,936.86 and 571.16

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Solution

The fourth proportional to 1,957.82, 2,936.86 and 571.16 is: 856.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.82 : 2,936.86 = 571.16 : x
  2. Step 2: Convert to fraction form
    1,957.82/2,936.86 = 571.16/x
  3. Step 3: Cross multiply
    1,957.82x = 2,936.86 × 571.16
  4. Step 4: Simplify right side
    1,957.82x = 1,677,422.87
  5. Step 5: Solve for x
    x = 1,677,422.87/1,957.82
  6. Step 6: Final answer
    x = 856.78

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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.