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Finding the Fourth Proportional to 20,833.65, 31,243.99 and 6,979.41

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Solution

The fourth proportional to 20,833.65, 31,243.99 and 6,979.41 is: 10,466.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,833.65 : 31,243.99 = 6,979.41 : x
  2. Step 2: Convert to fraction form
    20,833.65/31,243.99 = 6,979.41/x
  3. Step 3: Cross multiply
    20,833.65x = 31,243.99 × 6,979.41
  4. Step 4: Simplify right side
    20,833.65x = 218,064,598.80
  5. Step 5: Solve for x
    x = 218,064,598.80/20,833.65
  6. Step 6: Final answer
    x = 10,466.94

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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.