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Finding the Fourth Proportional to 21,823.70, 32,751.83 and 8,498.79

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Solution

The fourth proportional to 21,823.70, 32,751.83 and 8,498.79 is: 12,754.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,823.70 : 32,751.83 = 8,498.79 : x
  2. Step 2: Convert to fraction form
    21,823.70/32,751.83 = 8,498.79/x
  3. Step 3: Cross multiply
    21,823.70x = 32,751.83 × 8,498.79
  4. Step 4: Simplify right side
    21,823.70x = 278,350,946.53
  5. Step 5: Solve for x
    x = 278,350,946.53/21,823.70
  6. Step 6: Final answer
    x = 12,754.53

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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.