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Finding the Fourth Proportional to 2,855.95, 4,284.37 and 1,212.50

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Solution

The fourth proportional to 2,855.95, 4,284.37 and 1,212.50 is: 1,818.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.95 : 4,284.37 = 1,212.50 : x
  2. Step 2: Convert to fraction form
    2,855.95/4,284.37 = 1,212.50/x
  3. Step 3: Cross multiply
    2,855.95x = 4,284.37 × 1,212.50
  4. Step 4: Simplify right side
    2,855.95x = 5,194,798.63
  5. Step 5: Solve for x
    x = 5,194,798.63/2,855.95
  6. Step 6: Final answer
    x = 1,818.94

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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.