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Finding the Fourth Proportional to 3,410.52, 5,109.78 and 3,051.96

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Solution

The fourth proportional to 3,410.52, 5,109.78 and 3,051.96 is: 4,572.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.52 : 5,109.78 = 3,051.96 : x
  2. Step 2: Convert to fraction form
    3,410.52/5,109.78 = 3,051.96/x
  3. Step 3: Cross multiply
    3,410.52x = 5,109.78 × 3,051.96
  4. Step 4: Simplify right side
    3,410.52x = 15,594,844.17
  5. Step 5: Solve for x
    x = 15,594,844.17/3,410.52
  6. Step 6: Final answer
    x = 4,572.57

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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.