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Finding the Fourth Proportional to 3,418.63, 5,126.50 and 1,078.01

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Solution

The fourth proportional to 3,418.63, 5,126.50 and 1,078.01 is: 1,616.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.63 : 5,126.50 = 1,078.01 : x
  2. Step 2: Convert to fraction form
    3,418.63/5,126.50 = 1,078.01/x
  3. Step 3: Cross multiply
    3,418.63x = 5,126.50 × 1,078.01
  4. Step 4: Simplify right side
    3,418.63x = 5,526,418.27
  5. Step 5: Solve for x
    x = 5,526,418.27/3,418.63
  6. Step 6: Final answer
    x = 1,616.56

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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.