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Finding the Fourth Proportional to 34,392, 47,460.96 and 20,253.54

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Solution

The fourth proportional to 34,392, 47,460.96 and 20,253.54 is: 27,949.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,392 : 47,460.96 = 20,253.54 : x
  2. Step 2: Convert to fraction form
    34,392/47,460.96 = 20,253.54/x
  3. Step 3: Cross multiply
    34,392x = 47,460.96 × 20,253.54
  4. Step 4: Simplify right side
    34,392x = 961,252,451.80
  5. Step 5: Solve for x
    x = 961,252,451.80/34,392
  6. Step 6: Final answer
    x = 27,949.89

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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.