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Finding the Fourth Proportional to 3,604.65, 5,405.90 and 1,872.33

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Solution

The fourth proportional to 3,604.65, 5,405.90 and 1,872.33 is: 2,807.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.65 : 5,405.90 = 1,872.33 : x
  2. Step 2: Convert to fraction form
    3,604.65/5,405.90 = 1,872.33/x
  3. Step 3: Cross multiply
    3,604.65x = 5,405.90 × 1,872.33
  4. Step 4: Simplify right side
    3,604.65x = 10,121,619.39
  5. Step 5: Solve for x
    x = 10,121,619.39/3,604.65
  6. Step 6: Final answer
    x = 2,807.93

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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.