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Finding the Fourth Proportional to 2,519.07, 3,778.50 and 764.01

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Solution

The fourth proportional to 2,519.07, 3,778.50 and 764.01 is: 1,145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.07 : 3,778.50 = 764.01 : x
  2. Step 2: Convert to fraction form
    2,519.07/3,778.50 = 764.01/x
  3. Step 3: Cross multiply
    2,519.07x = 3,778.50 × 764.01
  4. Step 4: Simplify right side
    2,519.07x = 2,886,811.79
  5. Step 5: Solve for x
    x = 2,886,811.79/2,519.07
  6. Step 6: Final answer
    x = 1,145.98

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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.