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Finding the Fourth Proportional to 6,616, 9,919.12 and 3,155.68

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Solution

The fourth proportional to 6,616, 9,919.12 and 3,155.68 is: 4,731.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616 : 9,919.12 = 3,155.68 : x
  2. Step 2: Convert to fraction form
    6,616/9,919.12 = 3,155.68/x
  3. Step 3: Cross multiply
    6,616x = 9,919.12 × 3,155.68
  4. Step 4: Simplify right side
    6,616x = 31,301,568.60
  5. Step 5: Solve for x
    x = 31,301,568.60/6,616
  6. Step 6: Final answer
    x = 4,731.19

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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.