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Finding the Fourth Proportional to 1,957.82, 2,937.17 and 659.25

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Solution

The fourth proportional to 1,957.82, 2,937.17 and 659.25 is: 989.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.82 : 2,937.17 = 659.25 : x
  2. Step 2: Convert to fraction form
    1,957.82/2,937.17 = 659.25/x
  3. Step 3: Cross multiply
    1,957.82x = 2,937.17 × 659.25
  4. Step 4: Simplify right side
    1,957.82x = 1,936,329.32
  5. Step 5: Solve for x
    x = 1,936,329.32/1,957.82
  6. Step 6: Final answer
    x = 989.02

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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.