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Finding the Fourth Proportional to 2,554, 3,832.80 and 1,015.36

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Solution

The fourth proportional to 2,554, 3,832.80 and 1,015.36 is: 1,523.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554 : 3,832.80 = 1,015.36 : x
  2. Step 2: Convert to fraction form
    2,554/3,832.80 = 1,015.36/x
  3. Step 3: Cross multiply
    2,554x = 3,832.80 × 1,015.36
  4. Step 4: Simplify right side
    2,554x = 3,891,671.81
  5. Step 5: Solve for x
    x = 3,891,671.81/2,554
  6. Step 6: Final answer
    x = 1,523.76

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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.