Home / 8,021.52-12,015.96-6,546

Finding the Fourth Proportional to 8,021.52, 12,015.96 and 6,546

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Solution

The fourth proportional to 8,021.52, 12,015.96 and 6,546 is: 9,805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.52 : 12,015.96 = 6,546 : x
  2. Step 2: Convert to fraction form
    8,021.52/12,015.96 = 6,546/x
  3. Step 3: Cross multiply
    8,021.52x = 12,015.96 × 6,546
  4. Step 4: Simplify right side
    8,021.52x = 78,656,474.16
  5. Step 5: Solve for x
    x = 78,656,474.16/8,021.52
  6. Step 6: Final answer
    x = 9,805.68

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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.