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Finding the Fourth Proportional to 20,639.64, 30,954.78 and 5,845.16

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Solution

The fourth proportional to 20,639.64, 30,954.78 and 5,845.16 is: 8,766.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,639.64 : 30,954.78 = 5,845.16 : x
  2. Step 2: Convert to fraction form
    20,639.64/30,954.78 = 5,845.16/x
  3. Step 3: Cross multiply
    20,639.64x = 30,954.78 × 5,845.16
  4. Step 4: Simplify right side
    20,639.64x = 180,935,641.86
  5. Step 5: Solve for x
    x = 180,935,641.86/20,639.64
  6. Step 6: Final answer
    x = 8,766.41

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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.