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Finding the Fourth Proportional to 3,604.64, 5,407.27 and 1,139.41

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Solution

The fourth proportional to 3,604.64, 5,407.27 and 1,139.41 is: 1,709.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.64 : 5,407.27 = 1,139.41 : x
  2. Step 2: Convert to fraction form
    3,604.64/5,407.27 = 1,139.41/x
  3. Step 3: Cross multiply
    3,604.64x = 5,407.27 × 1,139.41
  4. Step 4: Simplify right side
    3,604.64x = 6,161,081.14
  5. Step 5: Solve for x
    x = 6,161,081.14/3,604.64
  6. Step 6: Final answer
    x = 1,709.21

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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.