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Finding the Fourth Proportional to 2,812.71, 4,203.07 and 2,105.35

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Solution

The fourth proportional to 2,812.71, 4,203.07 and 2,105.35 is: 3,146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.71 : 4,203.07 = 2,105.35 : x
  2. Step 2: Convert to fraction form
    2,812.71/4,203.07 = 2,105.35/x
  3. Step 3: Cross multiply
    2,812.71x = 4,203.07 × 2,105.35
  4. Step 4: Simplify right side
    2,812.71x = 8,848,933.42
  5. Step 5: Solve for x
    x = 8,848,933.42/2,812.71
  6. Step 6: Final answer
    x = 3,146.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.