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Finding the Fourth Proportional to 2,098.73, 3,148.01 and 538.74

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Solution

The fourth proportional to 2,098.73, 3,148.01 and 538.74 is: 808.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.73 : 3,148.01 = 538.74 : x
  2. Step 2: Convert to fraction form
    2,098.73/3,148.01 = 538.74/x
  3. Step 3: Cross multiply
    2,098.73x = 3,148.01 × 538.74
  4. Step 4: Simplify right side
    2,098.73x = 1,695,958.91
  5. Step 5: Solve for x
    x = 1,695,958.91/2,098.73
  6. Step 6: Final answer
    x = 808.09

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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.