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Finding the Fourth Proportional to 3,865.48, 5,795.64 and 1,992.53

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Solution

The fourth proportional to 3,865.48, 5,795.64 and 1,992.53 is: 2,987.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.48 : 5,795.64 = 1,992.53 : x
  2. Step 2: Convert to fraction form
    3,865.48/5,795.64 = 1,992.53/x
  3. Step 3: Cross multiply
    3,865.48x = 5,795.64 × 1,992.53
  4. Step 4: Simplify right side
    3,865.48x = 11,548,001.06
  5. Step 5: Solve for x
    x = 11,548,001.06/3,865.48
  6. Step 6: Final answer
    x = 2,987.47

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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.