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Finding the Fourth Proportional to 7,911.50, 11,862.75 and 3,226.02

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Solution

The fourth proportional to 7,911.50, 11,862.75 and 3,226.02 is: 4,837.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.50 : 11,862.75 = 3,226.02 : x
  2. Step 2: Convert to fraction form
    7,911.50/11,862.75 = 3,226.02/x
  3. Step 3: Cross multiply
    7,911.50x = 11,862.75 × 3,226.02
  4. Step 4: Simplify right side
    7,911.50x = 38,269,468.76
  5. Step 5: Solve for x
    x = 38,269,468.76/7,911.50
  6. Step 6: Final answer
    x = 4,837.20

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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.