Home / 11,314-16,971.46-5,387.84

Finding the Fourth Proportional to 11,314, 16,971.46 and 5,387.84

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Solution

The fourth proportional to 11,314, 16,971.46 and 5,387.84 is: 8,081.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314 : 16,971.46 = 5,387.84 : x
  2. Step 2: Convert to fraction form
    11,314/16,971.46 = 5,387.84/x
  3. Step 3: Cross multiply
    11,314x = 16,971.46 × 5,387.84
  4. Step 4: Simplify right side
    11,314x = 91,439,511.05
  5. Step 5: Solve for x
    x = 91,439,511.05/11,314
  6. Step 6: Final answer
    x = 8,081.98

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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.