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Finding the Fourth Proportional to 21,542.88, 32,308.04 and 8,392.32

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Solution

The fourth proportional to 21,542.88, 32,308.04 and 8,392.32 is: 12,586.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,542.88 : 32,308.04 = 8,392.32 : x
  2. Step 2: Convert to fraction form
    21,542.88/32,308.04 = 8,392.32/x
  3. Step 3: Cross multiply
    21,542.88x = 32,308.04 × 8,392.32
  4. Step 4: Simplify right side
    21,542.88x = 271,139,410.25
  5. Step 5: Solve for x
    x = 271,139,410.25/21,542.88
  6. Step 6: Final answer
    x = 12,586.03

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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.