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Finding the Fourth Proportional to 12,305.76, 18,447.12 and 6,822.24

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Solution

The fourth proportional to 12,305.76, 18,447.12 and 6,822.24 is: 10,226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.76 : 18,447.12 = 6,822.24 : x
  2. Step 2: Convert to fraction form
    12,305.76/18,447.12 = 6,822.24/x
  3. Step 3: Cross multiply
    12,305.76x = 18,447.12 × 6,822.24
  4. Step 4: Simplify right side
    12,305.76x = 125,850,679.95
  5. Step 5: Solve for x
    x = 125,850,679.95/12,305.76
  6. Step 6: Final answer
    x = 10,226.97

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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.