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Finding the Fourth Proportional to 2,119.90, 3,179.84 and 659.05

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Solution

The fourth proportional to 2,119.90, 3,179.84 and 659.05 is: 988.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.90 : 3,179.84 = 659.05 : x
  2. Step 2: Convert to fraction form
    2,119.90/3,179.84 = 659.05/x
  3. Step 3: Cross multiply
    2,119.90x = 3,179.84 × 659.05
  4. Step 4: Simplify right side
    2,119.90x = 2,095,670.26
  5. Step 5: Solve for x
    x = 2,095,670.26/2,119.90
  6. Step 6: Final answer
    x = 988.57

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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.