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Finding the Fourth Proportional to 8,143.12, 12,208.48 and 4,448.48

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Solution

The fourth proportional to 8,143.12, 12,208.48 and 4,448.48 is: 6,669.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.12 : 12,208.48 = 4,448.48 : x
  2. Step 2: Convert to fraction form
    8,143.12/12,208.48 = 4,448.48/x
  3. Step 3: Cross multiply
    8,143.12x = 12,208.48 × 4,448.48
  4. Step 4: Simplify right side
    8,143.12x = 54,309,179.11
  5. Step 5: Solve for x
    x = 54,309,179.11/8,143.12
  6. Step 6: Final answer
    x = 6,669.33

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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.