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Finding the Fourth Proportional to 2,099.66, 3,149.76 and 713.12

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Solution

The fourth proportional to 2,099.66, 3,149.76 and 713.12 is: 1,069.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.66 : 3,149.76 = 713.12 : x
  2. Step 2: Convert to fraction form
    2,099.66/3,149.76 = 713.12/x
  3. Step 3: Cross multiply
    2,099.66x = 3,149.76 × 713.12
  4. Step 4: Simplify right side
    2,099.66x = 2,246,156.85
  5. Step 5: Solve for x
    x = 2,246,156.85/2,099.66
  6. Step 6: Final answer
    x = 1,069.77

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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.