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Finding the Fourth Proportional to 3,698.40, 5,544 and 1,357.74

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Solution

The fourth proportional to 3,698.40, 5,544 and 1,357.74 is: 2,035.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.40 : 5,544 = 1,357.74 : x
  2. Step 2: Convert to fraction form
    3,698.40/5,544 = 1,357.74/x
  3. Step 3: Cross multiply
    3,698.40x = 5,544 × 1,357.74
  4. Step 4: Simplify right side
    3,698.40x = 7,527,310.56
  5. Step 5: Solve for x
    x = 7,527,310.56/3,698.40
  6. Step 6: Final answer
    x = 2,035.29

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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.