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Finding the Fourth Proportional to 2,098.36, 3,147.18 and 559

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Solution

The fourth proportional to 2,098.36, 3,147.18 and 559 is: 838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.36 : 3,147.18 = 559 : x
  2. Step 2: Convert to fraction form
    2,098.36/3,147.18 = 559/x
  3. Step 3: Cross multiply
    2,098.36x = 3,147.18 × 559
  4. Step 4: Simplify right side
    2,098.36x = 1,759,273.62
  5. Step 5: Solve for x
    x = 1,759,273.62/2,098.36
  6. Step 6: Final answer
    x = 838.40

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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.