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Finding the Fourth Proportional to 5,294.82, 7,942.68 and 1,399.17

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Solution

The fourth proportional to 5,294.82, 7,942.68 and 1,399.17 is: 2,098.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.82 : 7,942.68 = 1,399.17 : x
  2. Step 2: Convert to fraction form
    5,294.82/7,942.68 = 1,399.17/x
  3. Step 3: Cross multiply
    5,294.82x = 7,942.68 × 1,399.17
  4. Step 4: Simplify right side
    5,294.82x = 11,113,159.58
  5. Step 5: Solve for x
    x = 11,113,159.58/5,294.82
  6. Step 6: Final answer
    x = 2,098.87

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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.