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Finding the Fourth Proportional to 21,509.98, 32,251.19 and 8,351.54

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Solution

The fourth proportional to 21,509.98, 32,251.19 and 8,351.54 is: 12,521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.98 : 32,251.19 = 8,351.54 : x
  2. Step 2: Convert to fraction form
    21,509.98/32,251.19 = 8,351.54/x
  3. Step 3: Cross multiply
    21,509.98x = 32,251.19 × 8,351.54
  4. Step 4: Simplify right side
    21,509.98x = 269,347,103.33
  5. Step 5: Solve for x
    x = 269,347,103.33/21,509.98
  6. Step 6: Final answer
    x = 12,521.96

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1.5x scale

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.