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Finding the Fourth Proportional to 12,468.77, 18,662.20 and 9,491.14

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Solution

The fourth proportional to 12,468.77, 18,662.20 and 9,491.14 is: 14,205.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.77 : 18,662.20 = 9,491.14 : x
  2. Step 2: Convert to fraction form
    12,468.77/18,662.20 = 9,491.14/x
  3. Step 3: Cross multiply
    12,468.77x = 18,662.20 × 9,491.14
  4. Step 4: Simplify right side
    12,468.77x = 177,125,552.51
  5. Step 5: Solve for x
    x = 177,125,552.51/12,468.77
  6. Step 6: Final answer
    x = 14,205.54

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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.