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Finding the Fourth Proportional to 6,648.92, 9,971.22 and 3,138.44

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Solution

The fourth proportional to 6,648.92, 9,971.22 and 3,138.44 is: 4,706.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.92 : 9,971.22 = 3,138.44 : x
  2. Step 2: Convert to fraction form
    6,648.92/9,971.22 = 3,138.44/x
  3. Step 3: Cross multiply
    6,648.92x = 9,971.22 × 3,138.44
  4. Step 4: Simplify right side
    6,648.92x = 31,294,075.70
  5. Step 5: Solve for x
    x = 31,294,075.70/6,648.92
  6. Step 6: Final answer
    x = 4,706.64

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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.