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Finding the Fourth Proportional to 6,448.92, 9,658.26 and 3,151.68

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Solution

The fourth proportional to 6,448.92, 9,658.26 and 3,151.68 is: 4,720.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.92 : 9,658.26 = 3,151.68 : x
  2. Step 2: Convert to fraction form
    6,448.92/9,658.26 = 3,151.68/x
  3. Step 3: Cross multiply
    6,448.92x = 9,658.26 × 3,151.68
  4. Step 4: Simplify right side
    6,448.92x = 30,439,744.88
  5. Step 5: Solve for x
    x = 30,439,744.88/6,448.92
  6. Step 6: Final answer
    x = 4,720.13

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1.5x scale

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.