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Finding the Fourth Proportional to 6,620.68, 9,930.78 and 3,157

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Solution

The fourth proportional to 6,620.68, 9,930.78 and 3,157 is: 4,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,620.68 : 9,930.78 = 3,157 : x
  2. Step 2: Convert to fraction form
    6,620.68/9,930.78 = 3,157/x
  3. Step 3: Cross multiply
    6,620.68x = 9,930.78 × 3,157
  4. Step 4: Simplify right side
    6,620.68x = 31,351,472.46
  5. Step 5: Solve for x
    x = 31,351,472.46/6,620.68
  6. Step 6: Final answer
    x = 4,735.39

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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.