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Finding the Fourth Proportional to 2,072.97, 3,109.95 and 1,098.86

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Solution

The fourth proportional to 2,072.97, 3,109.95 and 1,098.86 is: 1,648.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.97 : 3,109.95 = 1,098.86 : x
  2. Step 2: Convert to fraction form
    2,072.97/3,109.95 = 1,098.86/x
  3. Step 3: Cross multiply
    2,072.97x = 3,109.95 × 1,098.86
  4. Step 4: Simplify right side
    2,072.97x = 3,417,384.11
  5. Step 5: Solve for x
    x = 3,417,384.11/2,072.97
  6. Step 6: Final answer
    x = 1,648.54

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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.