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Finding the Fourth Proportional to 3,892.76, 5,838.94 and 1,119.40

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Solution

The fourth proportional to 3,892.76, 5,838.94 and 1,119.40 is: 1,679.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.76 : 5,838.94 = 1,119.40 : x
  2. Step 2: Convert to fraction form
    3,892.76/5,838.94 = 1,119.40/x
  3. Step 3: Cross multiply
    3,892.76x = 5,838.94 × 1,119.40
  4. Step 4: Simplify right side
    3,892.76x = 6,536,129.08
  5. Step 5: Solve for x
    x = 6,536,129.08/3,892.76
  6. Step 6: Final answer
    x = 1,679.05

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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.