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Finding the Fourth Proportional to 6,014.88, 8,978.76 and 5,198.40

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Solution

The fourth proportional to 6,014.88, 8,978.76 and 5,198.40 is: 7,759.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014.88 : 8,978.76 = 5,198.40 : x
  2. Step 2: Convert to fraction form
    6,014.88/8,978.76 = 5,198.40/x
  3. Step 3: Cross multiply
    6,014.88x = 8,978.76 × 5,198.40
  4. Step 4: Simplify right side
    6,014.88x = 46,675,185.98
  5. Step 5: Solve for x
    x = 46,675,185.98/6,014.88
  6. Step 6: Final answer
    x = 7,759.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.