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Finding the Fourth Proportional to 2,509.87, 3,764.30 and 866.59

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Solution

The fourth proportional to 2,509.87, 3,764.30 and 866.59 is: 1,299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.87 : 3,764.30 = 866.59 : x
  2. Step 2: Convert to fraction form
    2,509.87/3,764.30 = 866.59/x
  3. Step 3: Cross multiply
    2,509.87x = 3,764.30 × 866.59
  4. Step 4: Simplify right side
    2,509.87x = 3,262,104.74
  5. Step 5: Solve for x
    x = 3,262,104.74/2,509.87
  6. Step 6: Final answer
    x = 1,299.71

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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.