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Finding the Fourth Proportional to 3,673.70, 5,069.81 and 2,102.30

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Solution

The fourth proportional to 3,673.70, 5,069.81 and 2,102.30 is: 2,901.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.70 : 5,069.81 = 2,102.30 : x
  2. Step 2: Convert to fraction form
    3,673.70/5,069.81 = 2,102.30/x
  3. Step 3: Cross multiply
    3,673.70x = 5,069.81 × 2,102.30
  4. Step 4: Simplify right side
    3,673.70x = 10,658,241.47
  5. Step 5: Solve for x
    x = 10,658,241.47/3,673.70
  6. Step 6: Final answer
    x = 2,901.23

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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.