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Finding the Fourth Proportional to 6,392.76, 8,822.36 and 3,875.09

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Solution

The fourth proportional to 6,392.76, 8,822.36 and 3,875.09 is: 5,347.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392.76 : 8,822.36 = 3,875.09 : x
  2. Step 2: Convert to fraction form
    6,392.76/8,822.36 = 3,875.09/x
  3. Step 3: Cross multiply
    6,392.76x = 8,822.36 × 3,875.09
  4. Step 4: Simplify right side
    6,392.76x = 34,187,404.59
  5. Step 5: Solve for x
    x = 34,187,404.59/6,392.76
  6. Step 6: Final answer
    x = 5,347.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.