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Finding the Fourth Proportional to 38,431, 53,034.78 and 20,767

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Solution

The fourth proportional to 38,431, 53,034.78 and 20,767 is: 28,658.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,431 : 53,034.78 = 20,767 : x
  2. Step 2: Convert to fraction form
    38,431/53,034.78 = 20,767/x
  3. Step 3: Cross multiply
    38,431x = 53,034.78 × 20,767
  4. Step 4: Simplify right side
    38,431x = 1,101,373,276.26
  5. Step 5: Solve for x
    x = 1,101,373,276.26/38,431
  6. Step 6: Final answer
    x = 28,658.46

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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.