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Finding the Fourth Proportional to 38,223, 57,336.66 and 13,599

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Solution

The fourth proportional to 38,223, 57,336.66 and 13,599 is: 20,399.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,223 : 57,336.66 = 13,599 : x
  2. Step 2: Convert to fraction form
    38,223/57,336.66 = 13,599/x
  3. Step 3: Cross multiply
    38,223x = 57,336.66 × 13,599
  4. Step 4: Simplify right side
    38,223x = 779,721,239.34
  5. Step 5: Solve for x
    x = 779,721,239.34/38,223
  6. Step 6: Final answer
    x = 20,399.27

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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.