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Finding the Fourth Proportional to 31,809.60, 47,719.80 and 9,622.80

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Solution

The fourth proportional to 31,809.60, 47,719.80 and 9,622.80 is: 14,435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,809.60 : 47,719.80 = 9,622.80 : x
  2. Step 2: Convert to fraction form
    31,809.60/47,719.80 = 9,622.80/x
  3. Step 3: Cross multiply
    31,809.60x = 47,719.80 × 9,622.80
  4. Step 4: Simplify right side
    31,809.60x = 459,198,091.44
  5. Step 5: Solve for x
    x = 459,198,091.44/31,809.60
  6. Step 6: Final answer
    x = 14,435.83

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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.