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Finding the Fourth Proportional to 8,642.82, 12,963.78 and 4,942.68

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Solution

The fourth proportional to 8,642.82, 12,963.78 and 4,942.68 is: 7,413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.82 : 12,963.78 = 4,942.68 : x
  2. Step 2: Convert to fraction form
    8,642.82/12,963.78 = 4,942.68/x
  3. Step 3: Cross multiply
    8,642.82x = 12,963.78 × 4,942.68
  4. Step 4: Simplify right side
    8,642.82x = 64,075,816.13
  5. Step 5: Solve for x
    x = 64,075,816.13/8,642.82
  6. Step 6: Final answer
    x = 7,413.76

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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.