Home / 20,829.24-31,247.10-6,975

Finding the Fourth Proportional to 20,829.24, 31,247.10 and 6,975

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Solution

The fourth proportional to 20,829.24, 31,247.10 and 6,975 is: 10,463.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,829.24 : 31,247.10 = 6,975 : x
  2. Step 2: Convert to fraction form
    20,829.24/31,247.10 = 6,975/x
  3. Step 3: Cross multiply
    20,829.24x = 31,247.10 × 6,975
  4. Step 4: Simplify right side
    20,829.24x = 217,948,522.50
  5. Step 5: Solve for x
    x = 217,948,522.50/20,829.24
  6. Step 6: Final answer
    x = 10,463.58

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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.