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Finding the Fourth Proportional to 20,603.76, 30,919.45 and 8,122.36

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Solution

The fourth proportional to 20,603.76, 30,919.45 and 8,122.36 is: 12,188.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,603.76 : 30,919.45 = 8,122.36 : x
  2. Step 2: Convert to fraction form
    20,603.76/30,919.45 = 8,122.36/x
  3. Step 3: Cross multiply
    20,603.76x = 30,919.45 × 8,122.36
  4. Step 4: Simplify right side
    20,603.76x = 251,138,903.90
  5. Step 5: Solve for x
    x = 251,138,903.90/20,603.76
  6. Step 6: Final answer
    x = 12,188.98

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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.