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Finding the Fourth Proportional to 2,099.64, 3,149.28 and 638.80

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Solution

The fourth proportional to 2,099.64, 3,149.28 and 638.80 is: 958.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.64 : 3,149.28 = 638.80 : x
  2. Step 2: Convert to fraction form
    2,099.64/3,149.28 = 638.80/x
  3. Step 3: Cross multiply
    2,099.64x = 3,149.28 × 638.80
  4. Step 4: Simplify right side
    2,099.64x = 2,011,760.06
  5. Step 5: Solve for x
    x = 2,011,760.06/2,099.64
  6. Step 6: Final answer
    x = 958.15

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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.