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Finding the Fourth Proportional to 2,099.73, 3,149.28 and 638.73

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Solution

The fourth proportional to 2,099.73, 3,149.28 and 638.73 is: 958.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.73 : 3,149.28 = 638.73 : x
  2. Step 2: Convert to fraction form
    2,099.73/3,149.28 = 638.73/x
  3. Step 3: Cross multiply
    2,099.73x = 3,149.28 × 638.73
  4. Step 4: Simplify right side
    2,099.73x = 2,011,539.61
  5. Step 5: Solve for x
    x = 2,011,539.61/2,099.73
  6. Step 6: Final answer
    x = 958.00

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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.