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Finding the Fourth Proportional to 3,920.72, 5,878.68 and 1,809.68

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Solution

The fourth proportional to 3,920.72, 5,878.68 and 1,809.68 is: 2,713.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.72 : 5,878.68 = 1,809.68 : x
  2. Step 2: Convert to fraction form
    3,920.72/5,878.68 = 1,809.68/x
  3. Step 3: Cross multiply
    3,920.72x = 5,878.68 × 1,809.68
  4. Step 4: Simplify right side
    3,920.72x = 10,638,529.62
  5. Step 5: Solve for x
    x = 10,638,529.62/3,920.72
  6. Step 6: Final answer
    x = 2,713.41

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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.