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Finding the Fourth Proportional to 3,892.74, 5,832.51 and 2,350.50

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Solution

The fourth proportional to 3,892.74, 5,832.51 and 2,350.50 is: 3,521.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.74 : 5,832.51 = 2,350.50 : x
  2. Step 2: Convert to fraction form
    3,892.74/5,832.51 = 2,350.50/x
  3. Step 3: Cross multiply
    3,892.74x = 5,832.51 × 2,350.50
  4. Step 4: Simplify right side
    3,892.74x = 13,709,314.76
  5. Step 5: Solve for x
    x = 13,709,314.76/3,892.74
  6. Step 6: Final answer
    x = 3,521.76

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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.