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Finding the Fourth Proportional to 3,720, 5,133.84 and 2,323.68

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Solution

The fourth proportional to 3,720, 5,133.84 and 2,323.68 is: 3,206.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720 : 5,133.84 = 2,323.68 : x
  2. Step 2: Convert to fraction form
    3,720/5,133.84 = 2,323.68/x
  3. Step 3: Cross multiply
    3,720x = 5,133.84 × 2,323.68
  4. Step 4: Simplify right side
    3,720x = 11,929,401.33
  5. Step 5: Solve for x
    x = 11,929,401.33/3,720
  6. Step 6: Final answer
    x = 3,206.83

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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.