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Finding the Fourth Proportional to 2,191.50, 3,285.65 and 874.85

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Solution

The fourth proportional to 2,191.50, 3,285.65 and 874.85 is: 1,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.50 : 3,285.65 = 874.85 : x
  2. Step 2: Convert to fraction form
    2,191.50/3,285.65 = 874.85/x
  3. Step 3: Cross multiply
    2,191.50x = 3,285.65 × 874.85
  4. Step 4: Simplify right side
    2,191.50x = 2,874,450.90
  5. Step 5: Solve for x
    x = 2,874,450.90/2,191.50
  6. Step 6: Final answer
    x = 1,311.64

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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.