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Finding the Fourth Proportional to 3,026.72, 4,509.64 and 2,828

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Solution

The fourth proportional to 3,026.72, 4,509.64 and 2,828 is: 4,213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.72 : 4,509.64 = 2,828 : x
  2. Step 2: Convert to fraction form
    3,026.72/4,509.64 = 2,828/x
  3. Step 3: Cross multiply
    3,026.72x = 4,509.64 × 2,828
  4. Step 4: Simplify right side
    3,026.72x = 12,753,261.92
  5. Step 5: Solve for x
    x = 12,753,261.92/3,026.72
  6. Step 6: Final answer
    x = 4,213.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.