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Finding the Fourth Proportional to 8,155, 12,232.50 and 1,999

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Solution

The fourth proportional to 8,155, 12,232.50 and 1,999 is: 2,998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155 : 12,232.50 = 1,999 : x
  2. Step 2: Convert to fraction form
    8,155/12,232.50 = 1,999/x
  3. Step 3: Cross multiply
    8,155x = 12,232.50 × 1,999
  4. Step 4: Simplify right side
    8,155x = 24,452,767.50
  5. Step 5: Solve for x
    x = 24,452,767.50/8,155
  6. Step 6: Final answer
    x = 2,998.50

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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.