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Finding the Fourth Proportional to 2,079.11, 3,118.80 and 780.14

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Solution

The fourth proportional to 2,079.11, 3,118.80 and 780.14 is: 1,170.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.11 : 3,118.80 = 780.14 : x
  2. Step 2: Convert to fraction form
    2,079.11/3,118.80 = 780.14/x
  3. Step 3: Cross multiply
    2,079.11x = 3,118.80 × 780.14
  4. Step 4: Simplify right side
    2,079.11x = 2,433,100.63
  5. Step 5: Solve for x
    x = 2,433,100.63/2,079.11
  6. Step 6: Final answer
    x = 1,170.26

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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.