Home / 21,829.24-32,747.10-7,975

Finding the Fourth Proportional to 21,829.24, 32,747.10 and 7,975

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Solution

The fourth proportional to 21,829.24, 32,747.10 and 7,975 is: 11,963.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,829.24 : 32,747.10 = 7,975 : x
  2. Step 2: Convert to fraction form
    21,829.24/32,747.10 = 7,975/x
  3. Step 3: Cross multiply
    21,829.24x = 32,747.10 × 7,975
  4. Step 4: Simplify right side
    21,829.24x = 261,158,122.50
  5. Step 5: Solve for x
    x = 261,158,122.50/21,829.24
  6. Step 6: Final answer
    x = 11,963.68

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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.