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Finding the Fourth Proportional to 6,425.96, 9,649.41 and 3,976.39

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Solution

The fourth proportional to 6,425.96, 9,649.41 and 3,976.39 is: 5,971.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.96 : 9,649.41 = 3,976.39 : x
  2. Step 2: Convert to fraction form
    6,425.96/9,649.41 = 3,976.39/x
  3. Step 3: Cross multiply
    6,425.96x = 9,649.41 × 3,976.39
  4. Step 4: Simplify right side
    6,425.96x = 38,369,749.30
  5. Step 5: Solve for x
    x = 38,369,749.30/6,425.96
  6. Step 6: Final answer
    x = 5,971.05

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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.