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Finding the Fourth Proportional to 14,422, 21,633.02 and 3,478

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Solution

The fourth proportional to 14,422, 21,633.02 and 3,478 is: 5,217.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,422 : 21,633.02 = 3,478 : x
  2. Step 2: Convert to fraction form
    14,422/21,633.02 = 3,478/x
  3. Step 3: Cross multiply
    14,422x = 21,633.02 × 3,478
  4. Step 4: Simplify right side
    14,422x = 75,239,643.56
  5. Step 5: Solve for x
    x = 75,239,643.56/14,422
  6. Step 6: Final answer
    x = 5,217.00

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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.