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Finding the Fourth Proportional to 8,177.63, 12,198.53 and 7,904.28

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Solution

The fourth proportional to 8,177.63, 12,198.53 and 7,904.28 is: 11,790.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.63 : 12,198.53 = 7,904.28 : x
  2. Step 2: Convert to fraction form
    8,177.63/12,198.53 = 7,904.28/x
  3. Step 3: Cross multiply
    8,177.63x = 12,198.53 × 7,904.28
  4. Step 4: Simplify right side
    8,177.63x = 96,420,662.21
  5. Step 5: Solve for x
    x = 96,420,662.21/8,177.63
  6. Step 6: Final answer
    x = 11,790.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.