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Finding the Fourth Proportional to 12,022.65, 18,052.20 and 9,252.45

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Solution

The fourth proportional to 12,022.65, 18,052.20 and 9,252.45 is: 13,892.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.65 : 18,052.20 = 9,252.45 : x
  2. Step 2: Convert to fraction form
    12,022.65/18,052.20 = 9,252.45/x
  3. Step 3: Cross multiply
    12,022.65x = 18,052.20 × 9,252.45
  4. Step 4: Simplify right side
    12,022.65x = 167,027,077.89
  5. Step 5: Solve for x
    x = 167,027,077.89/12,022.65
  6. Step 6: Final answer
    x = 13,892.70

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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.