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Finding the Fourth Proportional to 11,297.42, 16,951.91 and 5,381

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Solution

The fourth proportional to 11,297.42, 16,951.91 and 5,381 is: 8,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.42 : 16,951.91 = 5,381 : x
  2. Step 2: Convert to fraction form
    11,297.42/16,951.91 = 5,381/x
  3. Step 3: Cross multiply
    11,297.42x = 16,951.91 × 5,381
  4. Step 4: Simplify right side
    11,297.42x = 91,218,227.71
  5. Step 5: Solve for x
    x = 91,218,227.71/11,297.42
  6. Step 6: Final answer
    x = 8,074.25

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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.