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Finding the Fourth Proportional to 21,494.88, 32,250.60 and 8,356.50

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Solution

The fourth proportional to 21,494.88, 32,250.60 and 8,356.50 is: 12,537.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,494.88 : 32,250.60 = 8,356.50 : x
  2. Step 2: Convert to fraction form
    21,494.88/32,250.60 = 8,356.50/x
  3. Step 3: Cross multiply
    21,494.88x = 32,250.60 × 8,356.50
  4. Step 4: Simplify right side
    21,494.88x = 269,502,138.90
  5. Step 5: Solve for x
    x = 269,502,138.90/21,494.88
  6. Step 6: Final answer
    x = 12,537.97

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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.