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Finding the Fourth Proportional to 2,703.81, 3,732.57 and 2,105.13

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Solution

The fourth proportional to 2,703.81, 3,732.57 and 2,105.13 is: 2,906.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.81 : 3,732.57 = 2,105.13 : x
  2. Step 2: Convert to fraction form
    2,703.81/3,732.57 = 2,105.13/x
  3. Step 3: Cross multiply
    2,703.81x = 3,732.57 × 2,105.13
  4. Step 4: Simplify right side
    2,703.81x = 7,857,545.08
  5. Step 5: Solve for x
    x = 7,857,545.08/2,703.81
  6. Step 6: Final answer
    x = 2,906.10

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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.