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Finding the Fourth Proportional to 1,909.12, 2,864.09 and 659.83

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Solution

The fourth proportional to 1,909.12, 2,864.09 and 659.83 is: 989.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.12 : 2,864.09 = 659.83 : x
  2. Step 2: Convert to fraction form
    1,909.12/2,864.09 = 659.83/x
  3. Step 3: Cross multiply
    1,909.12x = 2,864.09 × 659.83
  4. Step 4: Simplify right side
    1,909.12x = 1,889,809.21
  5. Step 5: Solve for x
    x = 1,889,809.21/1,909.12
  6. Step 6: Final answer
    x = 989.88

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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.