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Finding the Fourth Proportional to 12,226.66, 18,345.46 and 5,649.32

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Solution

The fourth proportional to 12,226.66, 18,345.46 and 5,649.32 is: 8,476.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.66 : 18,345.46 = 5,649.32 : x
  2. Step 2: Convert to fraction form
    12,226.66/18,345.46 = 5,649.32/x
  3. Step 3: Cross multiply
    12,226.66x = 18,345.46 × 5,649.32
  4. Step 4: Simplify right side
    12,226.66x = 103,639,374.09
  5. Step 5: Solve for x
    x = 103,639,374.09/12,226.66
  6. Step 6: Final answer
    x = 8,476.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.