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Finding the Fourth Proportional to 38,498, 53,127.40 and 20,834

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Solution

The fourth proportional to 38,498, 53,127.40 and 20,834 is: 28,751.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,498 : 53,127.40 = 20,834 : x
  2. Step 2: Convert to fraction form
    38,498/53,127.40 = 20,834/x
  3. Step 3: Cross multiply
    38,498x = 53,127.40 × 20,834
  4. Step 4: Simplify right side
    38,498x = 1,106,856,251.60
  5. Step 5: Solve for x
    x = 1,106,856,251.60/38,498
  6. Step 6: Final answer
    x = 28,751.01

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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.