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Finding the Fourth Proportional to 5,540, 7,645.74 and 3,056

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Solution

The fourth proportional to 5,540, 7,645.74 and 3,056 is: 4,217.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,540 : 7,645.74 = 3,056 : x
  2. Step 2: Convert to fraction form
    5,540/7,645.74 = 3,056/x
  3. Step 3: Cross multiply
    5,540x = 7,645.74 × 3,056
  4. Step 4: Simplify right side
    5,540x = 23,365,381.44
  5. Step 5: Solve for x
    x = 23,365,381.44/5,540
  6. Step 6: Final answer
    x = 4,217.58

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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.