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Finding the Fourth Proportional to 3,828, 5,285.12 and 2,987.24

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Solution

The fourth proportional to 3,828, 5,285.12 and 2,987.24 is: 4,124.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828 : 5,285.12 = 2,987.24 : x
  2. Step 2: Convert to fraction form
    3,828/5,285.12 = 2,987.24/x
  3. Step 3: Cross multiply
    3,828x = 5,285.12 × 2,987.24
  4. Step 4: Simplify right side
    3,828x = 15,787,921.87
  5. Step 5: Solve for x
    x = 15,787,921.87/3,828
  6. Step 6: Final answer
    x = 4,124.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.