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Finding the Fourth Proportional to 15,581.34, 23,375.25 and 6,813.90

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Solution

The fourth proportional to 15,581.34, 23,375.25 and 6,813.90 is: 10,222.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,581.34 : 23,375.25 = 6,813.90 : x
  2. Step 2: Convert to fraction form
    15,581.34/23,375.25 = 6,813.90/x
  3. Step 3: Cross multiply
    15,581.34x = 23,375.25 × 6,813.90
  4. Step 4: Simplify right side
    15,581.34x = 159,276,615.98
  5. Step 5: Solve for x
    x = 159,276,615.98/15,581.34
  6. Step 6: Final answer
    x = 10,222.27

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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.