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Finding the Fourth Proportional to 2,812.74, 3,885.02 and 2,107.74

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Solution

The fourth proportional to 2,812.74, 3,885.02 and 2,107.74 is: 2,911.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.74 : 3,885.02 = 2,107.74 : x
  2. Step 2: Convert to fraction form
    2,812.74/3,885.02 = 2,107.74/x
  3. Step 3: Cross multiply
    2,812.74x = 3,885.02 × 2,107.74
  4. Step 4: Simplify right side
    2,812.74x = 8,188,612.05
  5. Step 5: Solve for x
    x = 8,188,612.05/2,812.74
  6. Step 6: Final answer
    x = 2,911.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.