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Finding the Fourth Proportional to 3,112.54, 4,295.04 and 1,978.12

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Solution

The fourth proportional to 3,112.54, 4,295.04 and 1,978.12 is: 2,729.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.54 : 4,295.04 = 1,978.12 : x
  2. Step 2: Convert to fraction form
    3,112.54/4,295.04 = 1,978.12/x
  3. Step 3: Cross multiply
    3,112.54x = 4,295.04 × 1,978.12
  4. Step 4: Simplify right side
    3,112.54x = 8,496,104.52
  5. Step 5: Solve for x
    x = 8,496,104.52/3,112.54
  6. Step 6: Final answer
    x = 2,729.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.