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Finding the Fourth Proportional to 6,422, 8,862.36 and 3,478

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Solution

The fourth proportional to 6,422, 8,862.36 and 3,478 is: 4,799.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422 : 8,862.36 = 3,478 : x
  2. Step 2: Convert to fraction form
    6,422/8,862.36 = 3,478/x
  3. Step 3: Cross multiply
    6,422x = 8,862.36 × 3,478
  4. Step 4: Simplify right side
    6,422x = 30,823,288.08
  5. Step 5: Solve for x
    x = 30,823,288.08/6,422
  6. Step 6: Final answer
    x = 4,799.64

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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.