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Finding the Fourth Proportional to 2,808.84, 4,212.48 and 859.96

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Solution

The fourth proportional to 2,808.84, 4,212.48 and 859.96 is: 1,289.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.84 : 4,212.48 = 859.96 : x
  2. Step 2: Convert to fraction form
    2,808.84/4,212.48 = 859.96/x
  3. Step 3: Cross multiply
    2,808.84x = 4,212.48 × 859.96
  4. Step 4: Simplify right side
    2,808.84x = 3,622,564.30
  5. Step 5: Solve for x
    x = 3,622,564.30/2,808.84
  6. Step 6: Final answer
    x = 1,289.70

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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.