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Finding the Fourth Proportional to 12,153.75, 18,231.75 and 5,578.98

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Solution

The fourth proportional to 12,153.75, 18,231.75 and 5,578.98 is: 8,368.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.75 : 18,231.75 = 5,578.98 : x
  2. Step 2: Convert to fraction form
    12,153.75/18,231.75 = 5,578.98/x
  3. Step 3: Cross multiply
    12,153.75x = 18,231.75 × 5,578.98
  4. Step 4: Simplify right side
    12,153.75x = 101,714,568.62
  5. Step 5: Solve for x
    x = 101,714,568.62/12,153.75
  6. Step 6: Final answer
    x = 8,368.99

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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.