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Finding the Fourth Proportional to 2,079.94, 3,120.03 and 781.42

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Solution

The fourth proportional to 2,079.94, 3,120.03 and 781.42 is: 1,172.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.94 : 3,120.03 = 781.42 : x
  2. Step 2: Convert to fraction form
    2,079.94/3,120.03 = 781.42/x
  3. Step 3: Cross multiply
    2,079.94x = 3,120.03 × 781.42
  4. Step 4: Simplify right side
    2,079.94x = 2,438,053.84
  5. Step 5: Solve for x
    x = 2,438,053.84/2,079.94
  6. Step 6: Final answer
    x = 1,172.18

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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.