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Finding the Fourth Proportional to 3,892.74, 5,371.74 and 2,214.20

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Solution

The fourth proportional to 3,892.74, 5,371.74 and 2,214.20 is: 3,055.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.74 : 5,371.74 = 2,214.20 : x
  2. Step 2: Convert to fraction form
    3,892.74/5,371.74 = 2,214.20/x
  3. Step 3: Cross multiply
    3,892.74x = 5,371.74 × 2,214.20
  4. Step 4: Simplify right side
    3,892.74x = 11,894,079.85
  5. Step 5: Solve for x
    x = 11,894,079.85/3,892.74
  6. Step 6: Final answer
    x = 3,055.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.