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Finding the Fourth Proportional to 2,806.89, 4,210.47 and 859.11

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Solution

The fourth proportional to 2,806.89, 4,210.47 and 859.11 is: 1,288.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.89 : 4,210.47 = 859.11 : x
  2. Step 2: Convert to fraction form
    2,806.89/4,210.47 = 859.11/x
  3. Step 3: Cross multiply
    2,806.89x = 4,210.47 × 859.11
  4. Step 4: Simplify right side
    2,806.89x = 3,617,256.88
  5. Step 5: Solve for x
    x = 3,617,256.88/2,806.89
  6. Step 6: Final answer
    x = 1,288.71

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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.