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Finding the Fourth Proportional to 20,115.54, 30,158.73 and 9,720

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Solution

The fourth proportional to 20,115.54, 30,158.73 and 9,720 is: 14,572.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,115.54 : 30,158.73 = 9,720 : x
  2. Step 2: Convert to fraction form
    20,115.54/30,158.73 = 9,720/x
  3. Step 3: Cross multiply
    20,115.54x = 30,158.73 × 9,720
  4. Step 4: Simplify right side
    20,115.54x = 293,142,855.60
  5. Step 5: Solve for x
    x = 293,142,855.60/20,115.54
  6. Step 6: Final answer
    x = 14,572.95

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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.