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Finding the Fourth Proportional to 4,014, 5,540.40 and 2,618.64

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Solution

The fourth proportional to 4,014, 5,540.40 and 2,618.64 is: 3,614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,014 : 5,540.40 = 2,618.64 : x
  2. Step 2: Convert to fraction form
    4,014/5,540.40 = 2,618.64/x
  3. Step 3: Cross multiply
    4,014x = 5,540.40 × 2,618.64
  4. Step 4: Simplify right side
    4,014x = 14,508,313.06
  5. Step 5: Solve for x
    x = 14,508,313.06/4,014
  6. Step 6: Final answer
    x = 3,614.43

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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.