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Finding the Fourth Proportional to 4,165.56, 6,249.56 and 1,971.27

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Solution

The fourth proportional to 4,165.56, 6,249.56 and 1,971.27 is: 2,957.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.56 : 6,249.56 = 1,971.27 : x
  2. Step 2: Convert to fraction form
    4,165.56/6,249.56 = 1,971.27/x
  3. Step 3: Cross multiply
    4,165.56x = 6,249.56 × 1,971.27
  4. Step 4: Simplify right side
    4,165.56x = 12,319,560.28
  5. Step 5: Solve for x
    x = 12,319,560.28/4,165.56
  6. Step 6: Final answer
    x = 2,957.48

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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.