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Finding the Fourth Proportional to 2,080.78, 3,121.17 and 619.93

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Solution

The fourth proportional to 2,080.78, 3,121.17 and 619.93 is: 929.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.78 : 3,121.17 = 619.93 : x
  2. Step 2: Convert to fraction form
    2,080.78/3,121.17 = 619.93/x
  3. Step 3: Cross multiply
    2,080.78x = 3,121.17 × 619.93
  4. Step 4: Simplify right side
    2,080.78x = 1,934,906.92
  5. Step 5: Solve for x
    x = 1,934,906.92/2,080.78
  6. Step 6: Final answer
    x = 929.90

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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.