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Finding the Fourth Proportional to 4,647.78, 6,965.49 and 4,028.58

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Solution

The fourth proportional to 4,647.78, 6,965.49 and 4,028.58 is: 6,037.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.78 : 6,965.49 = 4,028.58 : x
  2. Step 2: Convert to fraction form
    4,647.78/6,965.49 = 4,028.58/x
  3. Step 3: Cross multiply
    4,647.78x = 6,965.49 × 4,028.58
  4. Step 4: Simplify right side
    4,647.78x = 28,061,033.70
  5. Step 5: Solve for x
    x = 28,061,033.70/4,647.78
  6. Step 6: Final answer
    x = 6,037.51

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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.