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Finding the Fourth Proportional to 8,172.78, 12,263.22 and 3,789.47

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Solution

The fourth proportional to 8,172.78, 12,263.22 and 3,789.47 is: 5,686.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.78 : 12,263.22 = 3,789.47 : x
  2. Step 2: Convert to fraction form
    8,172.78/12,263.22 = 3,789.47/x
  3. Step 3: Cross multiply
    8,172.78x = 12,263.22 × 3,789.47
  4. Step 4: Simplify right side
    8,172.78x = 46,471,042.98
  5. Step 5: Solve for x
    x = 46,471,042.98/8,172.78
  6. Step 6: Final answer
    x = 5,686.08

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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.