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Finding the Fourth Proportional to 6,616, 9,928.68 and 3,153.52

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Solution

The fourth proportional to 6,616, 9,928.68 and 3,153.52 is: 4,732.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616 : 9,928.68 = 3,153.52 : x
  2. Step 2: Convert to fraction form
    6,616/9,928.68 = 3,153.52/x
  3. Step 3: Cross multiply
    6,616x = 9,928.68 × 3,153.52
  4. Step 4: Simplify right side
    6,616x = 31,310,290.95
  5. Step 5: Solve for x
    x = 31,310,290.95/6,616
  6. Step 6: Final answer
    x = 4,732.51

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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.