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Finding the Fourth Proportional to 4,965.03, 7,447.61 and 2,153.22

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Solution

The fourth proportional to 4,965.03, 7,447.61 and 2,153.22 is: 3,229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.03 : 7,447.61 = 2,153.22 : x
  2. Step 2: Convert to fraction form
    4,965.03/7,447.61 = 2,153.22/x
  3. Step 3: Cross multiply
    4,965.03x = 7,447.61 × 2,153.22
  4. Step 4: Simplify right side
    4,965.03x = 16,036,342.80
  5. Step 5: Solve for x
    x = 16,036,342.80/4,965.03
  6. Step 6: Final answer
    x = 3,229.86

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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.