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Finding the Fourth Proportional to 3,604.66, 5,406.53 and 1,139.73

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Solution

The fourth proportional to 3,604.66, 5,406.53 and 1,139.73 is: 1,709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.66 : 5,406.53 = 1,139.73 : x
  2. Step 2: Convert to fraction form
    3,604.66/5,406.53 = 1,139.73/x
  3. Step 3: Cross multiply
    3,604.66x = 5,406.53 × 1,139.73
  4. Step 4: Simplify right side
    3,604.66x = 6,161,978.74
  5. Step 5: Solve for x
    x = 6,161,978.74/3,604.66
  6. Step 6: Final answer
    x = 1,709.45

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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.