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Finding the Fourth Proportional to 2,509.62, 3,764.83 and 865.76

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Solution

The fourth proportional to 2,509.62, 3,764.83 and 865.76 is: 1,298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.62 : 3,764.83 = 865.76 : x
  2. Step 2: Convert to fraction form
    2,509.62/3,764.83 = 865.76/x
  3. Step 3: Cross multiply
    2,509.62x = 3,764.83 × 865.76
  4. Step 4: Simplify right side
    2,509.62x = 3,259,439.22
  5. Step 5: Solve for x
    x = 3,259,439.22/2,509.62
  6. Step 6: Final answer
    x = 1,298.78

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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.