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Finding the Fourth Proportional to 21,532.97, 32,308.64 and 8,394.59

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Solution

The fourth proportional to 21,532.97, 32,308.64 and 8,394.59 is: 12,595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,532.97 : 32,308.64 = 8,394.59 : x
  2. Step 2: Convert to fraction form
    21,532.97/32,308.64 = 8,394.59/x
  3. Step 3: Cross multiply
    21,532.97x = 32,308.64 × 8,394.59
  4. Step 4: Simplify right side
    21,532.97x = 271,217,744.28
  5. Step 5: Solve for x
    x = 271,217,744.28/21,532.97
  6. Step 6: Final answer
    x = 12,595.46

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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.