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Finding the Fourth Proportional to 6,138.82, 8,461.46 and 4,343.98

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Solution

The fourth proportional to 6,138.82, 8,461.46 and 4,343.98 is: 5,987.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.82 : 8,461.46 = 4,343.98 : x
  2. Step 2: Convert to fraction form
    6,138.82/8,461.46 = 4,343.98/x
  3. Step 3: Cross multiply
    6,138.82x = 8,461.46 × 4,343.98
  4. Step 4: Simplify right side
    6,138.82x = 36,756,413.01
  5. Step 5: Solve for x
    x = 36,756,413.01/6,138.82
  6. Step 6: Final answer
    x = 5,987.54

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1.5x scale

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.