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Finding the Fourth Proportional to 11,376.76, 17,065 and 4,451.20

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Solution

The fourth proportional to 11,376.76, 17,065 and 4,451.20 is: 6,676.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376.76 : 17,065 = 4,451.20 : x
  2. Step 2: Convert to fraction form
    11,376.76/17,065 = 4,451.20/x
  3. Step 3: Cross multiply
    11,376.76x = 17,065 × 4,451.20
  4. Step 4: Simplify right side
    11,376.76x = 75,959,728
  5. Step 5: Solve for x
    x = 75,959,728/11,376.76
  6. Step 6: Final answer
    x = 6,676.75

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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.