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Finding the Fourth Proportional to 3,581, 4,940.70 and 2,256.02

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Solution

The fourth proportional to 3,581, 4,940.70 and 2,256.02 is: 3,112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581 : 4,940.70 = 2,256.02 : x
  2. Step 2: Convert to fraction form
    3,581/4,940.70 = 2,256.02/x
  3. Step 3: Cross multiply
    3,581x = 4,940.70 × 2,256.02
  4. Step 4: Simplify right side
    3,581x = 11,146,318.01
  5. Step 5: Solve for x
    x = 11,146,318.01/3,581
  6. Step 6: Final answer
    x = 3,112.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.