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Finding the Fourth Proportional to 3,848.64, 5,773.64 and 1,900.84

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Solution

The fourth proportional to 3,848.64, 5,773.64 and 1,900.84 is: 2,851.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.64 : 5,773.64 = 1,900.84 : x
  2. Step 2: Convert to fraction form
    3,848.64/5,773.64 = 1,900.84/x
  3. Step 3: Cross multiply
    3,848.64x = 5,773.64 × 1,900.84
  4. Step 4: Simplify right side
    3,848.64x = 10,974,765.86
  5. Step 5: Solve for x
    x = 10,974,765.86/3,848.64
  6. Step 6: Final answer
    x = 2,851.60

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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.