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Finding the Fourth Proportional to 4,081, 6,121.80 and 1,615.60

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Solution

The fourth proportional to 4,081, 6,121.80 and 1,615.60 is: 2,423.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,081 : 6,121.80 = 1,615.60 : x
  2. Step 2: Convert to fraction form
    4,081/6,121.80 = 1,615.60/x
  3. Step 3: Cross multiply
    4,081x = 6,121.80 × 1,615.60
  4. Step 4: Simplify right side
    4,081x = 9,890,380.08
  5. Step 5: Solve for x
    x = 9,890,380.08/4,081
  6. Step 6: Final answer
    x = 2,423.52

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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.