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Finding the Fourth Proportional to 3,868.56, 5,805 and 1,922.64

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Solution

The fourth proportional to 3,868.56, 5,805 and 1,922.64 is: 2,885.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.56 : 5,805 = 1,922.64 : x
  2. Step 2: Convert to fraction form
    3,868.56/5,805 = 1,922.64/x
  3. Step 3: Cross multiply
    3,868.56x = 5,805 × 1,922.64
  4. Step 4: Simplify right side
    3,868.56x = 11,160,925.20
  5. Step 5: Solve for x
    x = 11,160,925.20/3,868.56
  6. Step 6: Final answer
    x = 2,885.03

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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.