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Finding the Fourth Proportional to 2,665.12, 3,999.76 and 1,849.14

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Solution

The fourth proportional to 2,665.12, 3,999.76 and 1,849.14 is: 2,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.12 : 3,999.76 = 1,849.14 : x
  2. Step 2: Convert to fraction form
    2,665.12/3,999.76 = 1,849.14/x
  3. Step 3: Cross multiply
    2,665.12x = 3,999.76 × 1,849.14
  4. Step 4: Simplify right side
    2,665.12x = 7,396,116.21
  5. Step 5: Solve for x
    x = 7,396,116.21/2,665.12
  6. Step 6: Final answer
    x = 2,775.15

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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.