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Finding the Fourth Proportional to 3,678, 5,515.64 and 1,212.10

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Solution

The fourth proportional to 3,678, 5,515.64 and 1,212.10 is: 1,817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678 : 5,515.64 = 1,212.10 : x
  2. Step 2: Convert to fraction form
    3,678/5,515.64 = 1,212.10/x
  3. Step 3: Cross multiply
    3,678x = 5,515.64 × 1,212.10
  4. Step 4: Simplify right side
    3,678x = 6,685,507.24
  5. Step 5: Solve for x
    x = 6,685,507.24/3,678
  6. Step 6: Final answer
    x = 1,817.70

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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.