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Finding the Fourth Proportional to 3,872, 5,339.74 and 2,986.40

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Solution

The fourth proportional to 3,872, 5,339.74 and 2,986.40 is: 4,118.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872 : 5,339.74 = 2,986.40 : x
  2. Step 2: Convert to fraction form
    3,872/5,339.74 = 2,986.40/x
  3. Step 3: Cross multiply
    3,872x = 5,339.74 × 2,986.40
  4. Step 4: Simplify right side
    3,872x = 15,946,599.54
  5. Step 5: Solve for x
    x = 15,946,599.54/3,872
  6. Step 6: Final answer
    x = 4,118.44

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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.