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Finding the Fourth Proportional to 5,310.32, 7,972.72 and 3,662.80

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Solution

The fourth proportional to 5,310.32, 7,972.72 and 3,662.80 is: 5,499.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.32 : 7,972.72 = 3,662.80 : x
  2. Step 2: Convert to fraction form
    5,310.32/7,972.72 = 3,662.80/x
  3. Step 3: Cross multiply
    5,310.32x = 7,972.72 × 3,662.80
  4. Step 4: Simplify right side
    5,310.32x = 29,202,478.82
  5. Step 5: Solve for x
    x = 29,202,478.82/5,310.32
  6. Step 6: Final answer
    x = 5,499.19

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1.5x scale

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.