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Finding the Fourth Proportional to 3,578.22, 5,364 and 1,386.48

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Solution

The fourth proportional to 3,578.22, 5,364 and 1,386.48 is: 2,078.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.22 : 5,364 = 1,386.48 : x
  2. Step 2: Convert to fraction form
    3,578.22/5,364 = 1,386.48/x
  3. Step 3: Cross multiply
    3,578.22x = 5,364 × 1,386.48
  4. Step 4: Simplify right side
    3,578.22x = 7,437,078.72
  5. Step 5: Solve for x
    x = 7,437,078.72/3,578.22
  6. Step 6: Final answer
    x = 2,078.43

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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.