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Finding the Fourth Proportional to 3,789.72, 5,689.44 and 2,562.57

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Solution

The fourth proportional to 3,789.72, 5,689.44 and 2,562.57 is: 3,847.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.72 : 5,689.44 = 2,562.57 : x
  2. Step 2: Convert to fraction form
    3,789.72/5,689.44 = 2,562.57/x
  3. Step 3: Cross multiply
    3,789.72x = 5,689.44 × 2,562.57
  4. Step 4: Simplify right side
    3,789.72x = 14,579,588.26
  5. Step 5: Solve for x
    x = 14,579,588.26/3,789.72
  6. Step 6: Final answer
    x = 3,847.14

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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.