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Finding the Fourth Proportional to 3,744.40, 5,168.30 and 2,173

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Solution

The fourth proportional to 3,744.40, 5,168.30 and 2,173 is: 2,999.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.40 : 5,168.30 = 2,173 : x
  2. Step 2: Convert to fraction form
    3,744.40/5,168.30 = 2,173/x
  3. Step 3: Cross multiply
    3,744.40x = 5,168.30 × 2,173
  4. Step 4: Simplify right side
    3,744.40x = 11,230,715.90
  5. Step 5: Solve for x
    x = 11,230,715.90/3,744.40
  6. Step 6: Final answer
    x = 2,999.34

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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.