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Finding the Fourth Proportional to 1,959.12, 2,936.79 and 659.88

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Solution

The fourth proportional to 1,959.12, 2,936.79 and 659.88 is: 989.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.12 : 2,936.79 = 659.88 : x
  2. Step 2: Convert to fraction form
    1,959.12/2,936.79 = 659.88/x
  3. Step 3: Cross multiply
    1,959.12x = 2,936.79 × 659.88
  4. Step 4: Simplify right side
    1,959.12x = 1,937,928.99
  5. Step 5: Solve for x
    x = 1,937,928.99/1,959.12
  6. Step 6: Final answer
    x = 989.18

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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.