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Finding the Fourth Proportional to 3,612, 5,418.28 and 2,051.40

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Solution

The fourth proportional to 3,612, 5,418.28 and 2,051.40 is: 3,077.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612 : 5,418.28 = 2,051.40 : x
  2. Step 2: Convert to fraction form
    3,612/5,418.28 = 2,051.40/x
  3. Step 3: Cross multiply
    3,612x = 5,418.28 × 2,051.40
  4. Step 4: Simplify right side
    3,612x = 11,115,059.59
  5. Step 5: Solve for x
    x = 11,115,059.59/3,612
  6. Step 6: Final answer
    x = 3,077.26

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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.