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Finding the Fourth Proportional to 12,101, 18,135.66 and 8,230.28

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Solution

The fourth proportional to 12,101, 18,135.66 and 8,230.28 is: 12,334.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101 : 18,135.66 = 8,230.28 : x
  2. Step 2: Convert to fraction form
    12,101/18,135.66 = 8,230.28/x
  3. Step 3: Cross multiply
    12,101x = 18,135.66 × 8,230.28
  4. Step 4: Simplify right side
    12,101x = 149,261,559.78
  5. Step 5: Solve for x
    x = 149,261,559.78/12,101
  6. Step 6: Final answer
    x = 12,334.65

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1.5x scale

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.