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Finding the Fourth Proportional to 2,507.62, 3,761.84 and 863.77

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Solution

The fourth proportional to 2,507.62, 3,761.84 and 863.77 is: 1,295.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.62 : 3,761.84 = 863.77 : x
  2. Step 2: Convert to fraction form
    2,507.62/3,761.84 = 863.77/x
  3. Step 3: Cross multiply
    2,507.62x = 3,761.84 × 863.77
  4. Step 4: Simplify right side
    2,507.62x = 3,249,364.54
  5. Step 5: Solve for x
    x = 3,249,364.54/2,507.62
  6. Step 6: Final answer
    x = 1,295.80

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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.