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Finding the Fourth Proportional to 15,891.74, 21,933.24 and 8,820.44

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Solution

The fourth proportional to 15,891.74, 21,933.24 and 8,820.44 is: 12,173.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.74 : 21,933.24 = 8,820.44 : x
  2. Step 2: Convert to fraction form
    15,891.74/21,933.24 = 8,820.44/x
  3. Step 3: Cross multiply
    15,891.74x = 21,933.24 × 8,820.44
  4. Step 4: Simplify right side
    15,891.74x = 193,460,827.43
  5. Step 5: Solve for x
    x = 193,460,827.43/15,891.74
  6. Step 6: Final answer
    x = 12,173.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.