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Finding the Fourth Proportional to 3,405.13, 5,107.31 and 940.30

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Solution

The fourth proportional to 3,405.13, 5,107.31 and 940.30 is: 1,410.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.13 : 5,107.31 = 940.30 : x
  2. Step 2: Convert to fraction form
    3,405.13/5,107.31 = 940.30/x
  3. Step 3: Cross multiply
    3,405.13x = 5,107.31 × 940.30
  4. Step 4: Simplify right side
    3,405.13x = 4,802,389.65
  5. Step 5: Solve for x
    x = 4,802,389.65/3,405.13
  6. Step 6: Final answer
    x = 1,410.34

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1.5x scale

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.