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Finding the Fourth Proportional to 3,165.96, 4,745.70 and 1,522.80

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Solution

The fourth proportional to 3,165.96, 4,745.70 and 1,522.80 is: 2,282.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.96 : 4,745.70 = 1,522.80 : x
  2. Step 2: Convert to fraction form
    3,165.96/4,745.70 = 1,522.80/x
  3. Step 3: Cross multiply
    3,165.96x = 4,745.70 × 1,522.80
  4. Step 4: Simplify right side
    3,165.96x = 7,226,751.96
  5. Step 5: Solve for x
    x = 7,226,751.96/3,165.96
  6. Step 6: Final answer
    x = 2,282.64

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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.