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Finding the Fourth Proportional to 2,591.87, 3,888.57 and 836.84

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Solution

The fourth proportional to 2,591.87, 3,888.57 and 836.84 is: 1,255.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.87 : 3,888.57 = 836.84 : x
  2. Step 2: Convert to fraction form
    2,591.87/3,888.57 = 836.84/x
  3. Step 3: Cross multiply
    2,591.87x = 3,888.57 × 836.84
  4. Step 4: Simplify right side
    2,591.87x = 3,254,087.29
  5. Step 5: Solve for x
    x = 3,254,087.29/2,591.87
  6. Step 6: Final answer
    x = 1,255.50

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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.