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Finding the Fourth Proportional to 3,892.47, 5,820.97 and 2,905.98

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Solution

The fourth proportional to 3,892.47, 5,820.97 and 2,905.98 is: 4,345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.47 : 5,820.97 = 2,905.98 : x
  2. Step 2: Convert to fraction form
    3,892.47/5,820.97 = 2,905.98/x
  3. Step 3: Cross multiply
    3,892.47x = 5,820.97 × 2,905.98
  4. Step 4: Simplify right side
    3,892.47x = 16,915,622.40
  5. Step 5: Solve for x
    x = 16,915,622.40/3,892.47
  6. Step 6: Final answer
    x = 4,345.73

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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.