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Finding the Fourth Proportional to 2,902.76, 4,353.80 and 1,028.44

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Solution

The fourth proportional to 2,902.76, 4,353.80 and 1,028.44 is: 1,542.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.76 : 4,353.80 = 1,028.44 : x
  2. Step 2: Convert to fraction form
    2,902.76/4,353.80 = 1,028.44/x
  3. Step 3: Cross multiply
    2,902.76x = 4,353.80 × 1,028.44
  4. Step 4: Simplify right side
    2,902.76x = 4,477,603.67
  5. Step 5: Solve for x
    x = 4,477,603.67/2,902.76
  6. Step 6: Final answer
    x = 1,542.53

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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.