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Finding the Fourth Proportional to 9,964.92, 14,949.18 and 4,122

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Solution

The fourth proportional to 9,964.92, 14,949.18 and 4,122 is: 6,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.92 : 14,949.18 = 4,122 : x
  2. Step 2: Convert to fraction form
    9,964.92/14,949.18 = 4,122/x
  3. Step 3: Cross multiply
    9,964.92x = 14,949.18 × 4,122
  4. Step 4: Simplify right side
    9,964.92x = 61,620,519.96
  5. Step 5: Solve for x
    x = 61,620,519.96/9,964.92
  6. Step 6: Final answer
    x = 6,183.74

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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.