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Finding the Fourth Proportional to 2,507.55, 3,759.09 and 862.94

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Solution

The fourth proportional to 2,507.55, 3,759.09 and 862.94 is: 1,293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.55 : 3,759.09 = 862.94 : x
  2. Step 2: Convert to fraction form
    2,507.55/3,759.09 = 862.94/x
  3. Step 3: Cross multiply
    2,507.55x = 3,759.09 × 862.94
  4. Step 4: Simplify right side
    2,507.55x = 3,243,869.12
  5. Step 5: Solve for x
    x = 3,243,869.12/2,507.55
  6. Step 6: Final answer
    x = 1,293.64

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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.