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Finding the Fourth Proportional to 3,830.22, 5,746 and 1,980.83

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Solution

The fourth proportional to 3,830.22, 5,746 and 1,980.83 is: 2,971.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.22 : 5,746 = 1,980.83 : x
  2. Step 2: Convert to fraction form
    3,830.22/5,746 = 1,980.83/x
  3. Step 3: Cross multiply
    3,830.22x = 5,746 × 1,980.83
  4. Step 4: Simplify right side
    3,830.22x = 11,381,849.18
  5. Step 5: Solve for x
    x = 11,381,849.18/3,830.22
  6. Step 6: Final answer
    x = 2,971.59

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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.