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Finding the Fourth Proportional to 20,580.08, 30,861 and 7,432.56

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Solution

The fourth proportional to 20,580.08, 30,861 and 7,432.56 is: 11,145.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,580.08 : 30,861 = 7,432.56 : x
  2. Step 2: Convert to fraction form
    20,580.08/30,861 = 7,432.56/x
  3. Step 3: Cross multiply
    20,580.08x = 30,861 × 7,432.56
  4. Step 4: Simplify right side
    20,580.08x = 229,376,234.16
  5. Step 5: Solve for x
    x = 229,376,234.16/20,580.08
  6. Step 6: Final answer
    x = 11,145.55

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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.