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Finding the Fourth Proportional to 5,540.71, 8,311 and 1,380.76

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Solution

The fourth proportional to 5,540.71, 8,311 and 1,380.76 is: 2,071.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,540.71 : 8,311 = 1,380.76 : x
  2. Step 2: Convert to fraction form
    5,540.71/8,311 = 1,380.76/x
  3. Step 3: Cross multiply
    5,540.71x = 8,311 × 1,380.76
  4. Step 4: Simplify right side
    5,540.71x = 11,475,496.36
  5. Step 5: Solve for x
    x = 11,475,496.36/5,540.71
  6. Step 6: Final answer
    x = 2,071.12

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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.