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Finding the Fourth Proportional to 12,361.84, 18,542.75 and 8,209.95

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Solution

The fourth proportional to 12,361.84, 18,542.75 and 8,209.95 is: 12,314.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,361.84 : 18,542.75 = 8,209.95 : x
  2. Step 2: Convert to fraction form
    12,361.84/18,542.75 = 8,209.95/x
  3. Step 3: Cross multiply
    12,361.84x = 18,542.75 × 8,209.95
  4. Step 4: Simplify right side
    12,361.84x = 152,235,050.36
  5. Step 5: Solve for x
    x = 152,235,050.36/12,361.84
  6. Step 6: Final answer
    x = 12,314.92

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Similar ratio
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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.