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Finding the Fourth Proportional to 8,138.36, 12,211.86 and 3,521

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Solution

The fourth proportional to 8,138.36, 12,211.86 and 3,521 is: 5,283.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.36 : 12,211.86 = 3,521 : x
  2. Step 2: Convert to fraction form
    8,138.36/12,211.86 = 3,521/x
  3. Step 3: Cross multiply
    8,138.36x = 12,211.86 × 3,521
  4. Step 4: Simplify right side
    8,138.36x = 42,997,959.06
  5. Step 5: Solve for x
    x = 42,997,959.06/8,138.36
  6. Step 6: Final answer
    x = 5,283.37

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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.