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Finding the Fourth Proportional to 2,548.32, 3,821.40 and 905.28

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Solution

The fourth proportional to 2,548.32, 3,821.40 and 905.28 is: 1,357.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.32 : 3,821.40 = 905.28 : x
  2. Step 2: Convert to fraction form
    2,548.32/3,821.40 = 905.28/x
  3. Step 3: Cross multiply
    2,548.32x = 3,821.40 × 905.28
  4. Step 4: Simplify right side
    2,548.32x = 3,459,436.99
  5. Step 5: Solve for x
    x = 3,459,436.99/2,548.32
  6. Step 6: Final answer
    x = 1,357.54

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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.