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Finding the Fourth Proportional to 2,747.84, 4,120.50 and 1,015.25

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Solution

The fourth proportional to 2,747.84, 4,120.50 and 1,015.25 is: 1,522.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.84 : 4,120.50 = 1,015.25 : x
  2. Step 2: Convert to fraction form
    2,747.84/4,120.50 = 1,015.25/x
  3. Step 3: Cross multiply
    2,747.84x = 4,120.50 × 1,015.25
  4. Step 4: Simplify right side
    2,747.84x = 4,183,337.63
  5. Step 5: Solve for x
    x = 4,183,337.63/2,747.84
  6. Step 6: Final answer
    x = 1,522.41

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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.