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Finding the Fourth Proportional to 20,379.66, 30,580.52 and 8,534.47

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Solution

The fourth proportional to 20,379.66, 30,580.52 and 8,534.47 is: 12,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,379.66 : 30,580.52 = 8,534.47 : x
  2. Step 2: Convert to fraction form
    20,379.66/30,580.52 = 8,534.47/x
  3. Step 3: Cross multiply
    20,379.66x = 30,580.52 × 8,534.47
  4. Step 4: Simplify right side
    20,379.66x = 260,988,530.52
  5. Step 5: Solve for x
    x = 260,988,530.52/20,379.66
  6. Step 6: Final answer
    x = 12,806.32

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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.