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Finding the Fourth Proportional to 2,502.87, 3,751.68 and 858.50

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Solution

The fourth proportional to 2,502.87, 3,751.68 and 858.50 is: 1,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.87 : 3,751.68 = 858.50 : x
  2. Step 2: Convert to fraction form
    2,502.87/3,751.68 = 858.50/x
  3. Step 3: Cross multiply
    2,502.87x = 3,751.68 × 858.50
  4. Step 4: Simplify right side
    2,502.87x = 3,220,815.81
  5. Step 5: Solve for x
    x = 3,220,815.81/2,502.87
  6. Step 6: Final answer
    x = 1,286.85

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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.