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Finding the Fourth Proportional to 20,485.78, 30,729.28 and 8,005.30

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Solution

The fourth proportional to 20,485.78, 30,729.28 and 8,005.30 is: 12,008.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,485.78 : 30,729.28 = 8,005.30 : x
  2. Step 2: Convert to fraction form
    20,485.78/30,729.28 = 8,005.30/x
  3. Step 3: Cross multiply
    20,485.78x = 30,729.28 × 8,005.30
  4. Step 4: Simplify right side
    20,485.78x = 245,997,105.18
  5. Step 5: Solve for x
    x = 245,997,105.18/20,485.78
  6. Step 6: Final answer
    x = 12,008.19

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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.