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Finding the Fourth Proportional to 2,605.72, 3,908.46 and 1,823.48

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Solution

The fourth proportional to 2,605.72, 3,908.46 and 1,823.48 is: 2,735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.72 : 3,908.46 = 1,823.48 : x
  2. Step 2: Convert to fraction form
    2,605.72/3,908.46 = 1,823.48/x
  3. Step 3: Cross multiply
    2,605.72x = 3,908.46 × 1,823.48
  4. Step 4: Simplify right side
    2,605.72x = 7,126,998.64
  5. Step 5: Solve for x
    x = 7,126,998.64/2,605.72
  6. Step 6: Final answer
    x = 2,735.14

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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.