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Finding the Fourth Proportional to 6,429.92, 9,646.97 and 2,919.51

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Solution

The fourth proportional to 6,429.92, 9,646.97 and 2,919.51 is: 4,380.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.92 : 9,646.97 = 2,919.51 : x
  2. Step 2: Convert to fraction form
    6,429.92/9,646.97 = 2,919.51/x
  3. Step 3: Cross multiply
    6,429.92x = 9,646.97 × 2,919.51
  4. Step 4: Simplify right side
    6,429.92x = 28,164,410.79
  5. Step 5: Solve for x
    x = 28,164,410.79/6,429.92
  6. Step 6: Final answer
    x = 4,380.22

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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.