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Finding the Fourth Proportional to 20,696.10, 31,032.81 and 8,203.47

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Solution

The fourth proportional to 20,696.10, 31,032.81 and 8,203.47 is: 12,300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,696.10 : 31,032.81 = 8,203.47 : x
  2. Step 2: Convert to fraction form
    20,696.10/31,032.81 = 8,203.47/x
  3. Step 3: Cross multiply
    20,696.10x = 31,032.81 × 8,203.47
  4. Step 4: Simplify right side
    20,696.10x = 254,576,725.85
  5. Step 5: Solve for x
    x = 254,576,725.85/20,696.10
  6. Step 6: Final answer
    x = 12,300.71

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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.