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Finding the Fourth Proportional to 20,818.80, 31,217.40 and 7,664.40

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Solution

The fourth proportional to 20,818.80, 31,217.40 and 7,664.40 is: 11,492.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,818.80 : 31,217.40 = 7,664.40 : x
  2. Step 2: Convert to fraction form
    20,818.80/31,217.40 = 7,664.40/x
  3. Step 3: Cross multiply
    20,818.80x = 31,217.40 × 7,664.40
  4. Step 4: Simplify right side
    20,818.80x = 239,262,640.56
  5. Step 5: Solve for x
    x = 239,262,640.56/20,818.80
  6. Step 6: Final answer
    x = 11,492.62

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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.