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Finding the Fourth Proportional to 5,626.68, 7,764.84 and 3,269.28

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Solution

The fourth proportional to 5,626.68, 7,764.84 and 3,269.28 is: 4,511.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.68 : 7,764.84 = 3,269.28 : x
  2. Step 2: Convert to fraction form
    5,626.68/7,764.84 = 3,269.28/x
  3. Step 3: Cross multiply
    5,626.68x = 7,764.84 × 3,269.28
  4. Step 4: Simplify right side
    5,626.68x = 25,385,436.12
  5. Step 5: Solve for x
    x = 25,385,436.12/5,626.68
  6. Step 6: Final answer
    x = 4,511.62

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1.5x scale

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.