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Finding the Fourth Proportional to 2,904.30, 4,351.05 and 2,709.90

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Solution

The fourth proportional to 2,904.30, 4,351.05 and 2,709.90 is: 4,059.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.30 : 4,351.05 = 2,709.90 : x
  2. Step 2: Convert to fraction form
    2,904.30/4,351.05 = 2,709.90/x
  3. Step 3: Cross multiply
    2,904.30x = 4,351.05 × 2,709.90
  4. Step 4: Simplify right side
    2,904.30x = 11,790,910.40
  5. Step 5: Solve for x
    x = 11,790,910.40/2,904.30
  6. Step 6: Final answer
    x = 4,059.81

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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.