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Finding the Fourth Proportional to 3,540.96, 4,885.65 and 2,214

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Solution

The fourth proportional to 3,540.96, 4,885.65 and 2,214 is: 3,054.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.96 : 4,885.65 = 2,214 : x
  2. Step 2: Convert to fraction form
    3,540.96/4,885.65 = 2,214/x
  3. Step 3: Cross multiply
    3,540.96x = 4,885.65 × 2,214
  4. Step 4: Simplify right side
    3,540.96x = 10,816,829.10
  5. Step 5: Solve for x
    x = 10,816,829.10/3,540.96
  6. Step 6: Final answer
    x = 3,054.77

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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.