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Finding the Fourth Proportional to 39,498, 54,507.24 and 21,834

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Solution

The fourth proportional to 39,498, 54,507.24 and 21,834 is: 30,130.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,498 : 54,507.24 = 21,834 : x
  2. Step 2: Convert to fraction form
    39,498/54,507.24 = 21,834/x
  3. Step 3: Cross multiply
    39,498x = 54,507.24 × 21,834
  4. Step 4: Simplify right side
    39,498x = 1,190,111,078.16
  5. Step 5: Solve for x
    x = 1,190,111,078.16/39,498
  6. Step 6: Final answer
    x = 30,130.92

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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.