Home / 3,406.48-5,104.86-1,942

Finding the Fourth Proportional to 3,406.48, 5,104.86 and 1,942

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Solution

The fourth proportional to 3,406.48, 5,104.86 and 1,942 is: 2,910.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.48 : 5,104.86 = 1,942 : x
  2. Step 2: Convert to fraction form
    3,406.48/5,104.86 = 1,942/x
  3. Step 3: Cross multiply
    3,406.48x = 5,104.86 × 1,942
  4. Step 4: Simplify right side
    3,406.48x = 9,913,638.12
  5. Step 5: Solve for x
    x = 9,913,638.12/3,406.48
  6. Step 6: Final answer
    x = 2,910.23

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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.