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Finding the Fourth Proportional to 8,216, 11,338.08 and 5,277.12

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Solution

The fourth proportional to 8,216, 11,338.08 and 5,277.12 is: 7,282.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216 : 11,338.08 = 5,277.12 : x
  2. Step 2: Convert to fraction form
    8,216/11,338.08 = 5,277.12/x
  3. Step 3: Cross multiply
    8,216x = 11,338.08 × 5,277.12
  4. Step 4: Simplify right side
    8,216x = 59,832,408.73
  5. Step 5: Solve for x
    x = 59,832,408.73/8,216
  6. Step 6: Final answer
    x = 7,282.43

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1.5x scale

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.