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Finding the Fourth Proportional to 8,371.50, 12,557.49 and 2,215.50

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Solution

The fourth proportional to 8,371.50, 12,557.49 and 2,215.50 is: 3,323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.50 : 12,557.49 = 2,215.50 : x
  2. Step 2: Convert to fraction form
    8,371.50/12,557.49 = 2,215.50/x
  3. Step 3: Cross multiply
    8,371.50x = 12,557.49 × 2,215.50
  4. Step 4: Simplify right side
    8,371.50x = 27,821,119.10
  5. Step 5: Solve for x
    x = 27,821,119.10/8,371.50
  6. Step 6: Final answer
    x = 3,323.31

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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.