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Finding the Fourth Proportional to 20,627.78, 30,924.87 and 10,233.86

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Solution

The fourth proportional to 20,627.78, 30,924.87 and 10,233.86 is: 15,342.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,627.78 : 30,924.87 = 10,233.86 : x
  2. Step 2: Convert to fraction form
    20,627.78/30,924.87 = 10,233.86/x
  3. Step 3: Cross multiply
    20,627.78x = 30,924.87 × 10,233.86
  4. Step 4: Simplify right side
    20,627.78x = 316,480,790.10
  5. Step 5: Solve for x
    x = 316,480,790.10/20,627.78
  6. Step 6: Final answer
    x = 15,342.46

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