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Finding the Fourth Proportional to 6,856.41, 9,462.02 and 4,205.28

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Solution

The fourth proportional to 6,856.41, 9,462.02 and 4,205.28 is: 5,803.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.41 : 9,462.02 = 4,205.28 : x
  2. Step 2: Convert to fraction form
    6,856.41/9,462.02 = 4,205.28/x
  3. Step 3: Cross multiply
    6,856.41x = 9,462.02 × 4,205.28
  4. Step 4: Simplify right side
    6,856.41x = 39,790,443.47
  5. Step 5: Solve for x
    x = 39,790,443.47/6,856.41
  6. Step 6: Final answer
    x = 5,803.39

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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.