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Finding the Fourth Proportional to 3,865.05, 5,798 and 1,231.94

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Solution

The fourth proportional to 3,865.05, 5,798 and 1,231.94 is: 1,848.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.05 : 5,798 = 1,231.94 : x
  2. Step 2: Convert to fraction form
    3,865.05/5,798 = 1,231.94/x
  3. Step 3: Cross multiply
    3,865.05x = 5,798 × 1,231.94
  4. Step 4: Simplify right side
    3,865.05x = 7,142,788.12
  5. Step 5: Solve for x
    x = 7,142,788.12/3,865.05
  6. Step 6: Final answer
    x = 1,848.05

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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.