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Finding the Fourth Proportional to 5,203.08, 7,805.39 and 1,691.94

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Solution

The fourth proportional to 5,203.08, 7,805.39 and 1,691.94 is: 2,538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.08 : 7,805.39 = 1,691.94 : x
  2. Step 2: Convert to fraction form
    5,203.08/7,805.39 = 1,691.94/x
  3. Step 3: Cross multiply
    5,203.08x = 7,805.39 × 1,691.94
  4. Step 4: Simplify right side
    5,203.08x = 13,206,251.56
  5. Step 5: Solve for x
    x = 13,206,251.56/5,203.08
  6. Step 6: Final answer
    x = 2,538.16

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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.