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Finding the Fourth Proportional to 3,800.70, 5,242.86 and 2,228.49

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Solution

The fourth proportional to 3,800.70, 5,242.86 and 2,228.49 is: 3,074.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.70 : 5,242.86 = 2,228.49 : x
  2. Step 2: Convert to fraction form
    3,800.70/5,242.86 = 2,228.49/x
  3. Step 3: Cross multiply
    3,800.70x = 5,242.86 × 2,228.49
  4. Step 4: Simplify right side
    3,800.70x = 11,683,661.08
  5. Step 5: Solve for x
    x = 11,683,661.08/3,800.70
  6. Step 6: Final answer
    x = 3,074.08

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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.