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Finding the Fourth Proportional to 21,478.52, 32,205.86 and 7,431

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Solution

The fourth proportional to 21,478.52, 32,205.86 and 7,431 is: 11,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,478.52 : 32,205.86 = 7,431 : x
  2. Step 2: Convert to fraction form
    21,478.52/32,205.86 = 7,431/x
  3. Step 3: Cross multiply
    21,478.52x = 32,205.86 × 7,431
  4. Step 4: Simplify right side
    21,478.52x = 239,321,745.66
  5. Step 5: Solve for x
    x = 239,321,745.66/21,478.52
  6. Step 6: Final answer
    x = 11,142.38

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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.