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Finding the Fourth Proportional to 2,806.86, 4,211.19 and 859.06

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Solution

The fourth proportional to 2,806.86, 4,211.19 and 859.06 is: 1,288.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.86 : 4,211.19 = 859.06 : x
  2. Step 2: Convert to fraction form
    2,806.86/4,211.19 = 859.06/x
  3. Step 3: Cross multiply
    2,806.86x = 4,211.19 × 859.06
  4. Step 4: Simplify right side
    2,806.86x = 3,617,664.88
  5. Step 5: Solve for x
    x = 3,617,664.88/2,806.86
  6. Step 6: Final answer
    x = 1,288.87

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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.