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Finding the Fourth Proportional to 20,438.56, 30,657.53 and 5,647.15

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Solution

The fourth proportional to 20,438.56, 30,657.53 and 5,647.15 is: 8,470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438.56 : 30,657.53 = 5,647.15 : x
  2. Step 2: Convert to fraction form
    20,438.56/30,657.53 = 5,647.15/x
  3. Step 3: Cross multiply
    20,438.56x = 30,657.53 × 5,647.15
  4. Step 4: Simplify right side
    20,438.56x = 173,127,489.02
  5. Step 5: Solve for x
    x = 173,127,489.02/20,438.56
  6. Step 6: Final answer
    x = 8,470.63

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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.