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Finding the Fourth Proportional to 3,419.70, 4,719.19 and 1,847.80

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Solution

The fourth proportional to 3,419.70, 4,719.19 and 1,847.80 is: 2,549.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.70 : 4,719.19 = 1,847.80 : x
  2. Step 2: Convert to fraction form
    3,419.70/4,719.19 = 1,847.80/x
  3. Step 3: Cross multiply
    3,419.70x = 4,719.19 × 1,847.80
  4. Step 4: Simplify right side
    3,419.70x = 8,720,119.28
  5. Step 5: Solve for x
    x = 8,720,119.28/3,419.70
  6. Step 6: Final answer
    x = 2,549.97

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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.