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Finding the Fourth Proportional to 2,576, 3,845.14 and 2,213.12

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Solution

The fourth proportional to 2,576, 3,845.14 and 2,213.12 is: 3,303.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576 : 3,845.14 = 2,213.12 : x
  2. Step 2: Convert to fraction form
    2,576/3,845.14 = 2,213.12/x
  3. Step 3: Cross multiply
    2,576x = 3,845.14 × 2,213.12
  4. Step 4: Simplify right side
    2,576x = 8,509,756.24
  5. Step 5: Solve for x
    x = 8,509,756.24/2,576
  6. Step 6: Final answer
    x = 3,303.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.