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Finding the Fourth Proportional to 2,905.74, 4,362.48 and 2,134.80

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Solution

The fourth proportional to 2,905.74, 4,362.48 and 2,134.80 is: 3,205.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.74 : 4,362.48 = 2,134.80 : x
  2. Step 2: Convert to fraction form
    2,905.74/4,362.48 = 2,134.80/x
  3. Step 3: Cross multiply
    2,905.74x = 4,362.48 × 2,134.80
  4. Step 4: Simplify right side
    2,905.74x = 9,313,022.30
  5. Step 5: Solve for x
    x = 9,313,022.30/2,905.74
  6. Step 6: Final answer
    x = 3,205.04

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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.