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Finding the Fourth Proportional to 3,381.66, 4,668.21 and 1,984.50

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Solution

The fourth proportional to 3,381.66, 4,668.21 and 1,984.50 is: 2,739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.66 : 4,668.21 = 1,984.50 : x
  2. Step 2: Convert to fraction form
    3,381.66/4,668.21 = 1,984.50/x
  3. Step 3: Cross multiply
    3,381.66x = 4,668.21 × 1,984.50
  4. Step 4: Simplify right side
    3,381.66x = 9,264,062.75
  5. Step 5: Solve for x
    x = 9,264,062.75/3,381.66
  6. Step 6: Final answer
    x = 2,739.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.