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Finding the Fourth Proportional to 4,941, 6,818.58 and 3,078

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Solution

The fourth proportional to 4,941, 6,818.58 and 3,078 is: 4,247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941 : 6,818.58 = 3,078 : x
  2. Step 2: Convert to fraction form
    4,941/6,818.58 = 3,078/x
  3. Step 3: Cross multiply
    4,941x = 6,818.58 × 3,078
  4. Step 4: Simplify right side
    4,941x = 20,987,589.24
  5. Step 5: Solve for x
    x = 20,987,589.24/4,941
  6. Step 6: Final answer
    x = 4,247.64

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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.