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Finding the Fourth Proportional to 2,099.89, 3,149.72 and 638.93

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Solution

The fourth proportional to 2,099.89, 3,149.72 and 638.93 is: 958.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.89 : 3,149.72 = 638.93 : x
  2. Step 2: Convert to fraction form
    2,099.89/3,149.72 = 638.93/x
  3. Step 3: Cross multiply
    2,099.89x = 3,149.72 × 638.93
  4. Step 4: Simplify right side
    2,099.89x = 2,012,431.66
  5. Step 5: Solve for x
    x = 2,012,431.66/2,099.89
  6. Step 6: Final answer
    x = 958.35

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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.