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Finding the Fourth Proportional to 2,080.74, 3,121.66 and 619.86

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Solution

The fourth proportional to 2,080.74, 3,121.66 and 619.86 is: 929.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.74 : 3,121.66 = 619.86 : x
  2. Step 2: Convert to fraction form
    2,080.74/3,121.66 = 619.86/x
  3. Step 3: Cross multiply
    2,080.74x = 3,121.66 × 619.86
  4. Step 4: Simplify right side
    2,080.74x = 1,934,992.17
  5. Step 5: Solve for x
    x = 1,934,992.17/2,080.74
  6. Step 6: Final answer
    x = 929.95

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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.