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Finding the Fourth Proportional to 20,873.85, 31,310.70 and 5,078.70

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Solution

The fourth proportional to 20,873.85, 31,310.70 and 5,078.70 is: 7,618.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,873.85 : 31,310.70 = 5,078.70 : x
  2. Step 2: Convert to fraction form
    20,873.85/31,310.70 = 5,078.70/x
  3. Step 3: Cross multiply
    20,873.85x = 31,310.70 × 5,078.70
  4. Step 4: Simplify right side
    20,873.85x = 159,017,661.61
  5. Step 5: Solve for x
    x = 159,017,661.61/20,873.85
  6. Step 6: Final answer
    x = 7,618.03

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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.