Home / 20,820-31,233.36-6,972.24

Finding the Fourth Proportional to 20,820, 31,233.36 and 6,972.24

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Solution

The fourth proportional to 20,820, 31,233.36 and 6,972.24 is: 10,459.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,820 : 31,233.36 = 6,972.24 : x
  2. Step 2: Convert to fraction form
    20,820/31,233.36 = 6,972.24/x
  3. Step 3: Cross multiply
    20,820x = 31,233.36 × 6,972.24
  4. Step 4: Simplify right side
    20,820x = 217,766,481.93
  5. Step 5: Solve for x
    x = 217,766,481.93/20,820
  6. Step 6: Final answer
    x = 10,459.49

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1.5x scale

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.