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Finding the Fourth Proportional to 6,406.43, 9,566.37 and 5,238.68

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Solution

The fourth proportional to 6,406.43, 9,566.37 and 5,238.68 is: 7,822.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.43 : 9,566.37 = 5,238.68 : x
  2. Step 2: Convert to fraction form
    6,406.43/9,566.37 = 5,238.68/x
  3. Step 3: Cross multiply
    6,406.43x = 9,566.37 × 5,238.68
  4. Step 4: Simplify right side
    6,406.43x = 50,115,103.36
  5. Step 5: Solve for x
    x = 50,115,103.36/6,406.43
  6. Step 6: Final answer
    x = 7,822.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.