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Finding the Fourth Proportional to 5,709.42, 8,564.13 and 1,961.15

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Solution

The fourth proportional to 5,709.42, 8,564.13 and 1,961.15 is: 2,941.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.42 : 8,564.13 = 1,961.15 : x
  2. Step 2: Convert to fraction form
    5,709.42/8,564.13 = 1,961.15/x
  3. Step 3: Cross multiply
    5,709.42x = 8,564.13 × 1,961.15
  4. Step 4: Simplify right side
    5,709.42x = 16,795,500.73
  5. Step 5: Solve for x
    x = 16,795,500.73/5,709.42
  6. Step 6: Final answer
    x = 2,941.72

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Similar ratio
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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.