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Finding the Fourth Proportional to 2,507.35, 3,760.90 and 863.90

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Solution

The fourth proportional to 2,507.35, 3,760.90 and 863.90 is: 1,295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.35 : 3,760.90 = 863.90 : x
  2. Step 2: Convert to fraction form
    2,507.35/3,760.90 = 863.90/x
  3. Step 3: Cross multiply
    2,507.35x = 3,760.90 × 863.90
  4. Step 4: Simplify right side
    2,507.35x = 3,249,041.51
  5. Step 5: Solve for x
    x = 3,249,041.51/2,507.35
  6. Step 6: Final answer
    x = 1,295.81

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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.