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Finding the Fourth Proportional to 20,605.45, 30,894.52 and 7,456.11

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Solution

The fourth proportional to 20,605.45, 30,894.52 and 7,456.11 is: 11,179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,605.45 : 30,894.52 = 7,456.11 : x
  2. Step 2: Convert to fraction form
    20,605.45/30,894.52 = 7,456.11/x
  3. Step 3: Cross multiply
    20,605.45x = 30,894.52 × 7,456.11
  4. Step 4: Simplify right side
    20,605.45x = 230,352,939.52
  5. Step 5: Solve for x
    x = 230,352,939.52/20,605.45
  6. Step 6: Final answer
    x = 11,179.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.