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Finding the Fourth Proportional to 2,855.61, 4,284 and 1,212.15

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Solution

The fourth proportional to 2,855.61, 4,284 and 1,212.15 is: 1,818.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.61 : 4,284 = 1,212.15 : x
  2. Step 2: Convert to fraction form
    2,855.61/4,284 = 1,212.15/x
  3. Step 3: Cross multiply
    2,855.61x = 4,284 × 1,212.15
  4. Step 4: Simplify right side
    2,855.61x = 5,192,850.60
  5. Step 5: Solve for x
    x = 5,192,850.60/2,855.61
  6. Step 6: Final answer
    x = 1,818.47

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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.