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Finding the Fourth Proportional to 20,570.66, 30,835.21 and 8,099.43

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Solution

The fourth proportional to 20,570.66, 30,835.21 and 8,099.43 is: 12,140.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,570.66 : 30,835.21 = 8,099.43 : x
  2. Step 2: Convert to fraction form
    20,570.66/30,835.21 = 8,099.43/x
  3. Step 3: Cross multiply
    20,570.66x = 30,835.21 × 8,099.43
  4. Step 4: Simplify right side
    20,570.66x = 249,747,624.93
  5. Step 5: Solve for x
    x = 249,747,624.93/20,570.66
  6. Step 6: Final answer
    x = 12,140.96

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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.