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Finding the Fourth Proportional to 3,862.81, 5,795.93 and 1,642.20

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Solution

The fourth proportional to 3,862.81, 5,795.93 and 1,642.20 is: 2,464.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.81 : 5,795.93 = 1,642.20 : x
  2. Step 2: Convert to fraction form
    3,862.81/5,795.93 = 1,642.20/x
  3. Step 3: Cross multiply
    3,862.81x = 5,795.93 × 1,642.20
  4. Step 4: Simplify right side
    3,862.81x = 9,518,076.25
  5. Step 5: Solve for x
    x = 9,518,076.25/3,862.81
  6. Step 6: Final answer
    x = 2,464.03

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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.