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Finding the Fourth Proportional to 20,491.60, 30,747.15 and 7,345.30

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Solution

The fourth proportional to 20,491.60, 30,747.15 and 7,345.30 is: 11,021.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,491.60 : 30,747.15 = 7,345.30 : x
  2. Step 2: Convert to fraction form
    20,491.60/30,747.15 = 7,345.30/x
  3. Step 3: Cross multiply
    20,491.60x = 30,747.15 × 7,345.30
  4. Step 4: Simplify right side
    20,491.60x = 225,847,040.90
  5. Step 5: Solve for x
    x = 225,847,040.90/20,491.60
  6. Step 6: Final answer
    x = 11,021.44

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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.