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Finding the Fourth Proportional to 1,892.51, 2,839.44 and 659.87

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Solution

The fourth proportional to 1,892.51, 2,839.44 and 659.87 is: 990.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.51 : 2,839.44 = 659.87 : x
  2. Step 2: Convert to fraction form
    1,892.51/2,839.44 = 659.87/x
  3. Step 3: Cross multiply
    1,892.51x = 2,839.44 × 659.87
  4. Step 4: Simplify right side
    1,892.51x = 1,873,661.27
  5. Step 5: Solve for x
    x = 1,873,661.27/1,892.51
  6. Step 6: Final answer
    x = 990.04

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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.