Home / 3,426-5,138.46-1,577.04

Finding the Fourth Proportional to 3,426, 5,138.46 and 1,577.04

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Solution

The fourth proportional to 3,426, 5,138.46 and 1,577.04 is: 2,365.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426 : 5,138.46 = 1,577.04 : x
  2. Step 2: Convert to fraction form
    3,426/5,138.46 = 1,577.04/x
  3. Step 3: Cross multiply
    3,426x = 5,138.46 × 1,577.04
  4. Step 4: Simplify right side
    3,426x = 8,103,556.96
  5. Step 5: Solve for x
    x = 8,103,556.96/3,426
  6. Step 6: Final answer
    x = 2,365.31

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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.