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Finding the Fourth Proportional to 3,985.54, 5,971.10 and 2,228.44

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Solution

The fourth proportional to 3,985.54, 5,971.10 and 2,228.44 is: 3,338.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.54 : 5,971.10 = 2,228.44 : x
  2. Step 2: Convert to fraction form
    3,985.54/5,971.10 = 2,228.44/x
  3. Step 3: Cross multiply
    3,985.54x = 5,971.10 × 2,228.44
  4. Step 4: Simplify right side
    3,985.54x = 13,306,238.08
  5. Step 5: Solve for x
    x = 13,306,238.08/3,985.54
  6. Step 6: Final answer
    x = 3,338.63

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1.5x scale

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.