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Finding the Fourth Proportional to 2,098.97, 3,148.43 and 538.97

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Solution

The fourth proportional to 2,098.97, 3,148.43 and 538.97 is: 808.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.97 : 3,148.43 = 538.97 : x
  2. Step 2: Convert to fraction form
    2,098.97/3,148.43 = 538.97/x
  3. Step 3: Cross multiply
    2,098.97x = 3,148.43 × 538.97
  4. Step 4: Simplify right side
    2,098.97x = 1,696,893.57
  5. Step 5: Solve for x
    x = 1,696,893.57/2,098.97
  6. Step 6: Final answer
    x = 808.44

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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.