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Finding the Fourth Proportional to 3,589.74, 5,384.91 and 1,368

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Solution

The fourth proportional to 3,589.74, 5,384.91 and 1,368 is: 2,052.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.74 : 5,384.91 = 1,368 : x
  2. Step 2: Convert to fraction form
    3,589.74/5,384.91 = 1,368/x
  3. Step 3: Cross multiply
    3,589.74x = 5,384.91 × 1,368
  4. Step 4: Simplify right side
    3,589.74x = 7,366,556.88
  5. Step 5: Solve for x
    x = 7,366,556.88/3,589.74
  6. Step 6: Final answer
    x = 2,052.11

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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.