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Finding the Fourth Proportional to 6,488.78, 9,734.51 and 2,791.94

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Solution

The fourth proportional to 6,488.78, 9,734.51 and 2,791.94 is: 4,188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.78 : 9,734.51 = 2,791.94 : x
  2. Step 2: Convert to fraction form
    6,488.78/9,734.51 = 2,791.94/x
  3. Step 3: Cross multiply
    6,488.78x = 9,734.51 × 2,791.94
  4. Step 4: Simplify right side
    6,488.78x = 27,178,126.16
  5. Step 5: Solve for x
    x = 27,178,126.16/6,488.78
  6. Step 6: Final answer
    x = 4,188.48

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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.