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Finding the Fourth Proportional to 2,525.96, 3,789.50 and 771.11

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Solution

The fourth proportional to 2,525.96, 3,789.50 and 771.11 is: 1,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.96 : 3,789.50 = 771.11 : x
  2. Step 2: Convert to fraction form
    2,525.96/3,789.50 = 771.11/x
  3. Step 3: Cross multiply
    2,525.96x = 3,789.50 × 771.11
  4. Step 4: Simplify right side
    2,525.96x = 2,922,132.75
  5. Step 5: Solve for x
    x = 2,922,132.75/2,525.96
  6. Step 6: Final answer
    x = 1,156.84

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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.