Home / 20,822-31,230.70-5,239.62

Finding the Fourth Proportional to 20,822, 31,230.70 and 5,239.62

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Solution

The fourth proportional to 20,822, 31,230.70 and 5,239.62 is: 7,858.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,822 : 31,230.70 = 5,239.62 : x
  2. Step 2: Convert to fraction form
    20,822/31,230.70 = 5,239.62/x
  3. Step 3: Cross multiply
    20,822x = 31,230.70 × 5,239.62
  4. Step 4: Simplify right side
    20,822x = 163,637,000.33
  5. Step 5: Solve for x
    x = 163,637,000.33/20,822
  6. Step 6: Final answer
    x = 7,858.85

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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.