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Finding the Fourth Proportional to 4,920.06, 7,380 and 2,145.90

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Solution

The fourth proportional to 4,920.06, 7,380 and 2,145.90 is: 3,218.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.06 : 7,380 = 2,145.90 : x
  2. Step 2: Convert to fraction form
    4,920.06/7,380 = 2,145.90/x
  3. Step 3: Cross multiply
    4,920.06x = 7,380 × 2,145.90
  4. Step 4: Simplify right side
    4,920.06x = 15,836,742
  5. Step 5: Solve for x
    x = 15,836,742/4,920.06
  6. Step 6: Final answer
    x = 3,218.81

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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.