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Finding the Fourth Proportional to 8,039, 12,065 and 4,144.52

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Solution

The fourth proportional to 8,039, 12,065 and 4,144.52 is: 6,220.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,039 : 12,065 = 4,144.52 : x
  2. Step 2: Convert to fraction form
    8,039/12,065 = 4,144.52/x
  3. Step 3: Cross multiply
    8,039x = 12,065 × 4,144.52
  4. Step 4: Simplify right side
    8,039x = 50,003,633.80
  5. Step 5: Solve for x
    x = 50,003,633.80/8,039
  6. Step 6: Final answer
    x = 6,220.13

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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.