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Finding the Fourth Proportional to 4,103.78, 6,156.30 and 1,763.78

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Solution

The fourth proportional to 4,103.78, 6,156.30 and 1,763.78 is: 2,645.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.78 : 6,156.30 = 1,763.78 : x
  2. Step 2: Convert to fraction form
    4,103.78/6,156.30 = 1,763.78/x
  3. Step 3: Cross multiply
    4,103.78x = 6,156.30 × 1,763.78
  4. Step 4: Simplify right side
    4,103.78x = 10,858,358.81
  5. Step 5: Solve for x
    x = 10,858,358.81/4,103.78
  6. Step 6: Final answer
    x = 2,645.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.