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Finding the Fourth Proportional to 6,664, 9,196.32 and 3,869.68

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Solution

The fourth proportional to 6,664, 9,196.32 and 3,869.68 is: 5,340.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664 : 9,196.32 = 3,869.68 : x
  2. Step 2: Convert to fraction form
    6,664/9,196.32 = 3,869.68/x
  3. Step 3: Cross multiply
    6,664x = 9,196.32 × 3,869.68
  4. Step 4: Simplify right side
    6,664x = 35,586,815.58
  5. Step 5: Solve for x
    x = 35,586,815.58/6,664
  6. Step 6: Final answer
    x = 5,340.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.