Home / 3,825.06-5,732.78-2,070

Finding the Fourth Proportional to 3,825.06, 5,732.78 and 2,070

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Solution

The fourth proportional to 3,825.06, 5,732.78 and 2,070 is: 3,102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.06 : 5,732.78 = 2,070 : x
  2. Step 2: Convert to fraction form
    3,825.06/5,732.78 = 2,070/x
  3. Step 3: Cross multiply
    3,825.06x = 5,732.78 × 2,070
  4. Step 4: Simplify right side
    3,825.06x = 11,866,854.60
  5. Step 5: Solve for x
    x = 11,866,854.60/3,825.06
  6. Step 6: Final answer
    x = 3,102.40

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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.