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Finding the Fourth Proportional to 20,648.56, 30,971.19 and 7,503.88

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Solution

The fourth proportional to 20,648.56, 30,971.19 and 7,503.88 is: 11,255.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,648.56 : 30,971.19 = 7,503.88 : x
  2. Step 2: Convert to fraction form
    20,648.56/30,971.19 = 7,503.88/x
  3. Step 3: Cross multiply
    20,648.56x = 30,971.19 × 7,503.88
  4. Step 4: Simplify right side
    20,648.56x = 232,404,093.22
  5. Step 5: Solve for x
    x = 232,404,093.22/20,648.56
  6. Step 6: Final answer
    x = 11,255.22

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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.