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Finding the Fourth Proportional to 30,343.60, 45,499.20 and 12,793.60

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Solution

The fourth proportional to 30,343.60, 45,499.20 and 12,793.60 is: 19,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,343.60 : 45,499.20 = 12,793.60 : x
  2. Step 2: Convert to fraction form
    30,343.60/45,499.20 = 12,793.60/x
  3. Step 3: Cross multiply
    30,343.60x = 45,499.20 × 12,793.60
  4. Step 4: Simplify right side
    30,343.60x = 582,098,565.12
  5. Step 5: Solve for x
    x = 582,098,565.12/30,343.60
  6. Step 6: Final answer
    x = 19,183.57

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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.