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Finding the Fourth Proportional to 3,419.90, 4,719.46 and 1,847.99

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Solution

The fourth proportional to 3,419.90, 4,719.46 and 1,847.99 is: 2,550.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.90 : 4,719.46 = 1,847.99 : x
  2. Step 2: Convert to fraction form
    3,419.90/4,719.46 = 1,847.99/x
  3. Step 3: Cross multiply
    3,419.90x = 4,719.46 × 1,847.99
  4. Step 4: Simplify right side
    3,419.90x = 8,721,505.65
  5. Step 5: Solve for x
    x = 8,721,505.65/3,419.90
  6. Step 6: Final answer
    x = 2,550.23

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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.