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Finding the Fourth Proportional to 2,611.85, 3,919.30 and 969.53

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Solution

The fourth proportional to 2,611.85, 3,919.30 and 969.53 is: 1,454.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.85 : 3,919.30 = 969.53 : x
  2. Step 2: Convert to fraction form
    2,611.85/3,919.30 = 969.53/x
  3. Step 3: Cross multiply
    2,611.85x = 3,919.30 × 969.53
  4. Step 4: Simplify right side
    2,611.85x = 3,799,856.91
  5. Step 5: Solve for x
    x = 3,799,856.91/2,611.85
  6. Step 6: Final answer
    x = 1,454.86

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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.