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Finding the Fourth Proportional to 3,848, 5,767.95 and 2,749.10

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Solution

The fourth proportional to 3,848, 5,767.95 and 2,749.10 is: 4,120.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848 : 5,767.95 = 2,749.10 : x
  2. Step 2: Convert to fraction form
    3,848/5,767.95 = 2,749.10/x
  3. Step 3: Cross multiply
    3,848x = 5,767.95 × 2,749.10
  4. Step 4: Simplify right side
    3,848x = 15,856,671.35
  5. Step 5: Solve for x
    x = 15,856,671.35/3,848
  6. Step 6: Final answer
    x = 4,120.76

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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.