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Finding the Fourth Proportional to 2,509.57, 3,764.96 and 866.13

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Solution

The fourth proportional to 2,509.57, 3,764.96 and 866.13 is: 1,299.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.57 : 3,764.96 = 866.13 : x
  2. Step 2: Convert to fraction form
    2,509.57/3,764.96 = 866.13/x
  3. Step 3: Cross multiply
    2,509.57x = 3,764.96 × 866.13
  4. Step 4: Simplify right side
    2,509.57x = 3,260,947.53
  5. Step 5: Solve for x
    x = 3,260,947.53/2,509.57
  6. Step 6: Final answer
    x = 1,299.40

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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.