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Finding the Fourth Proportional to 2,099.32, 3,149.58 and 638.58

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Solution

The fourth proportional to 2,099.32, 3,149.58 and 638.58 is: 958.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.32 : 3,149.58 = 638.58 : x
  2. Step 2: Convert to fraction form
    2,099.32/3,149.58 = 638.58/x
  3. Step 3: Cross multiply
    2,099.32x = 3,149.58 × 638.58
  4. Step 4: Simplify right side
    2,099.32x = 2,011,273.00
  5. Step 5: Solve for x
    x = 2,011,273.00/2,099.32
  6. Step 6: Final answer
    x = 958.06

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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.