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Finding the Fourth Proportional to 2,706.05, 4,057.09 and 856.13

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Solution

The fourth proportional to 2,706.05, 4,057.09 and 856.13 is: 1,283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.05 : 4,057.09 = 856.13 : x
  2. Step 2: Convert to fraction form
    2,706.05/4,057.09 = 856.13/x
  3. Step 3: Cross multiply
    2,706.05x = 4,057.09 × 856.13
  4. Step 4: Simplify right side
    2,706.05x = 3,473,371.90
  5. Step 5: Solve for x
    x = 3,473,371.90/2,706.05
  6. Step 6: Final answer
    x = 1,283.56

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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.