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Finding the Fourth Proportional to 2,846.86, 4,270.95 and 1,115.50

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Solution

The fourth proportional to 2,846.86, 4,270.95 and 1,115.50 is: 1,673.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.86 : 4,270.95 = 1,115.50 : x
  2. Step 2: Convert to fraction form
    2,846.86/4,270.95 = 1,115.50/x
  3. Step 3: Cross multiply
    2,846.86x = 4,270.95 × 1,115.50
  4. Step 4: Simplify right side
    2,846.86x = 4,764,244.73
  5. Step 5: Solve for x
    x = 4,764,244.73/2,846.86
  6. Step 6: Final answer
    x = 1,673.51

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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.