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Finding the Fourth Proportional to 11,872.10, 17,678.02 and 11,451.68

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Solution

The fourth proportional to 11,872.10, 17,678.02 and 11,451.68 is: 17,052.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.10 : 17,678.02 = 11,451.68 : x
  2. Step 2: Convert to fraction form
    11,872.10/17,678.02 = 11,451.68/x
  3. Step 3: Cross multiply
    11,872.10x = 17,678.02 × 11,451.68
  4. Step 4: Simplify right side
    11,872.10x = 202,443,028.07
  5. Step 5: Solve for x
    x = 202,443,028.07/11,872.10
  6. Step 6: Final answer
    x = 17,052.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.