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Finding the Fourth Proportional to 20,294.30, 30,443.88 and 8,606

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Solution

The fourth proportional to 20,294.30, 30,443.88 and 8,606 is: 12,910.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,294.30 : 30,443.88 = 8,606 : x
  2. Step 2: Convert to fraction form
    20,294.30/30,443.88 = 8,606/x
  3. Step 3: Cross multiply
    20,294.30x = 30,443.88 × 8,606
  4. Step 4: Simplify right side
    20,294.30x = 262,000,031.28
  5. Step 5: Solve for x
    x = 262,000,031.28/20,294.30
  6. Step 6: Final answer
    x = 12,910.03

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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.