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Finding the Fourth Proportional to 2,905.68, 4,358.07 and 825.78

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Solution

The fourth proportional to 2,905.68, 4,358.07 and 825.78 is: 1,238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.68 : 4,358.07 = 825.78 : x
  2. Step 2: Convert to fraction form
    2,905.68/4,358.07 = 825.78/x
  3. Step 3: Cross multiply
    2,905.68x = 4,358.07 × 825.78
  4. Step 4: Simplify right side
    2,905.68x = 3,598,807.04
  5. Step 5: Solve for x
    x = 3,598,807.04/2,905.68
  6. Step 6: Final answer
    x = 1,238.54

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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.