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Finding the Fourth Proportional to 3,782.30, 5,674.03 and 1,009.19

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Solution

The fourth proportional to 3,782.30, 5,674.03 and 1,009.19 is: 1,513.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.30 : 5,674.03 = 1,009.19 : x
  2. Step 2: Convert to fraction form
    3,782.30/5,674.03 = 1,009.19/x
  3. Step 3: Cross multiply
    3,782.30x = 5,674.03 × 1,009.19
  4. Step 4: Simplify right side
    3,782.30x = 5,726,186.00
  5. Step 5: Solve for x
    x = 5,726,186.00/3,782.30
  6. Step 6: Final answer
    x = 1,513.94

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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.