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Finding the Fourth Proportional to 12,393.96, 17,097.66 and 8,205.72

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Solution

The fourth proportional to 12,393.96, 17,097.66 and 8,205.72 is: 11,319.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,393.96 : 17,097.66 = 8,205.72 : x
  2. Step 2: Convert to fraction form
    12,393.96/17,097.66 = 8,205.72/x
  3. Step 3: Cross multiply
    12,393.96x = 17,097.66 × 8,205.72
  4. Step 4: Simplify right side
    12,393.96x = 140,298,610.62
  5. Step 5: Solve for x
    x = 140,298,610.62/12,393.96
  6. Step 6: Final answer
    x = 11,319.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.