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Finding the Fourth Proportional to 3,134.80, 4,705.80 and 1,903.60

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Solution

The fourth proportional to 3,134.80, 4,705.80 and 1,903.60 is: 2,857.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.80 : 4,705.80 = 1,903.60 : x
  2. Step 2: Convert to fraction form
    3,134.80/4,705.80 = 1,903.60/x
  3. Step 3: Cross multiply
    3,134.80x = 4,705.80 × 1,903.60
  4. Step 4: Simplify right side
    3,134.80x = 8,957,960.88
  5. Step 5: Solve for x
    x = 8,957,960.88/3,134.80
  6. Step 6: Final answer
    x = 2,857.59

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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.