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Finding the Fourth Proportional to 38,394, 52,983.81 and 21,627

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Solution

The fourth proportional to 38,394, 52,983.81 and 21,627 is: 29,845.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,394 : 52,983.81 = 21,627 : x
  2. Step 2: Convert to fraction form
    38,394/52,983.81 = 21,627/x
  3. Step 3: Cross multiply
    38,394x = 52,983.81 × 21,627
  4. Step 4: Simplify right side
    38,394x = 1,145,880,858.87
  5. Step 5: Solve for x
    x = 1,145,880,858.87/38,394
  6. Step 6: Final answer
    x = 29,845.31

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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.