Home / 11,827.20-16,321.44-6,522

Finding the Fourth Proportional to 11,827.20, 16,321.44 and 6,522

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Solution

The fourth proportional to 11,827.20, 16,321.44 and 6,522 is: 9,000.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.20 : 16,321.44 = 6,522 : x
  2. Step 2: Convert to fraction form
    11,827.20/16,321.44 = 6,522/x
  3. Step 3: Cross multiply
    11,827.20x = 16,321.44 × 6,522
  4. Step 4: Simplify right side
    11,827.20x = 106,448,431.68
  5. Step 5: Solve for x
    x = 106,448,431.68/11,827.20
  6. Step 6: Final answer
    x = 9,000.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.