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Finding the Fourth Proportional to 20,512.61, 30,769.06 and 7,365.09

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Solution

The fourth proportional to 20,512.61, 30,769.06 and 7,365.09 is: 11,047.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.61 : 30,769.06 = 7,365.09 : x
  2. Step 2: Convert to fraction form
    20,512.61/30,769.06 = 7,365.09/x
  3. Step 3: Cross multiply
    20,512.61x = 30,769.06 × 7,365.09
  4. Step 4: Simplify right side
    20,512.61x = 226,616,896.12
  5. Step 5: Solve for x
    x = 226,616,896.12/20,512.61
  6. Step 6: Final answer
    x = 11,047.69

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1.5x scale

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.