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Finding the Fourth Proportional to 22,696.38, 31,323.75 and 13,743.63

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Solution

The fourth proportional to 22,696.38, 31,323.75 and 13,743.63 is: 18,967.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,696.38 : 31,323.75 = 13,743.63 : x
  2. Step 2: Convert to fraction form
    22,696.38/31,323.75 = 13,743.63/x
  3. Step 3: Cross multiply
    22,696.38x = 31,323.75 × 13,743.63
  4. Step 4: Simplify right side
    22,696.38x = 430,502,030.21
  5. Step 5: Solve for x
    x = 430,502,030.21/22,696.38
  6. Step 6: Final answer
    x = 18,967.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.