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Finding the Fourth Proportional to 8,275, 11,419.50 and 5,480.50

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Solution

The fourth proportional to 8,275, 11,419.50 and 5,480.50 is: 7,563.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275 : 11,419.50 = 5,480.50 : x
  2. Step 2: Convert to fraction form
    8,275/11,419.50 = 5,480.50/x
  3. Step 3: Cross multiply
    8,275x = 11,419.50 × 5,480.50
  4. Step 4: Simplify right side
    8,275x = 62,584,569.75
  5. Step 5: Solve for x
    x = 62,584,569.75/8,275
  6. Step 6: Final answer
    x = 7,563.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.