Home / 3,823.40-5,734.47-1,226

Finding the Fourth Proportional to 3,823.40, 5,734.47 and 1,226

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Solution

The fourth proportional to 3,823.40, 5,734.47 and 1,226 is: 1,838.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.40 : 5,734.47 = 1,226 : x
  2. Step 2: Convert to fraction form
    3,823.40/5,734.47 = 1,226/x
  3. Step 3: Cross multiply
    3,823.40x = 5,734.47 × 1,226
  4. Step 4: Simplify right side
    3,823.40x = 7,030,460.22
  5. Step 5: Solve for x
    x = 7,030,460.22/3,823.40
  6. Step 6: Final answer
    x = 1,838.80

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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.