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Finding the Fourth Proportional to 2,834.12, 4,251.99 and 859.68

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Solution

The fourth proportional to 2,834.12, 4,251.99 and 859.68 is: 1,289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.12 : 4,251.99 = 859.68 : x
  2. Step 2: Convert to fraction form
    2,834.12/4,251.99 = 859.68/x
  3. Step 3: Cross multiply
    2,834.12x = 4,251.99 × 859.68
  4. Step 4: Simplify right side
    2,834.12x = 3,655,353.99
  5. Step 5: Solve for x
    x = 3,655,353.99/2,834.12
  6. Step 6: Final answer
    x = 1,289.77

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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.