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Finding the Fourth Proportional to 20,502.12, 30,733.02 and 7,352.04

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Solution

The fourth proportional to 20,502.12, 30,733.02 and 7,352.04 is: 11,020.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,502.12 : 30,733.02 = 7,352.04 : x
  2. Step 2: Convert to fraction form
    20,502.12/30,733.02 = 7,352.04/x
  3. Step 3: Cross multiply
    20,502.12x = 30,733.02 × 7,352.04
  4. Step 4: Simplify right side
    20,502.12x = 225,950,392.36
  5. Step 5: Solve for x
    x = 225,950,392.36/20,502.12
  6. Step 6: Final answer
    x = 11,020.83

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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.