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Finding the Fourth Proportional to 13,101.95, 18,083.25 and 8,327.45

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Solution

The fourth proportional to 13,101.95, 18,083.25 and 8,327.45 is: 11,493.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.95 : 18,083.25 = 8,327.45 : x
  2. Step 2: Convert to fraction form
    13,101.95/18,083.25 = 8,327.45/x
  3. Step 3: Cross multiply
    13,101.95x = 18,083.25 × 8,327.45
  4. Step 4: Simplify right side
    13,101.95x = 150,587,318.58
  5. Step 5: Solve for x
    x = 150,587,318.58/13,101.95
  6. Step 6: Final answer
    x = 11,493.51

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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.