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Finding the Fourth Proportional to 2,858.60, 3,947.50 and 1,811

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Solution

The fourth proportional to 2,858.60, 3,947.50 and 1,811 is: 2,500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.60 : 3,947.50 = 1,811 : x
  2. Step 2: Convert to fraction form
    2,858.60/3,947.50 = 1,811/x
  3. Step 3: Cross multiply
    2,858.60x = 3,947.50 × 1,811
  4. Step 4: Simplify right side
    2,858.60x = 7,148,922.50
  5. Step 5: Solve for x
    x = 7,148,922.50/2,858.60
  6. Step 6: Final answer
    x = 2,500.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.