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Finding the Fourth Proportional to 7,800.74, 11,690.76 and 3,413.42

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Solution

The fourth proportional to 7,800.74, 11,690.76 and 3,413.42 is: 5,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.74 : 11,690.76 = 3,413.42 : x
  2. Step 2: Convert to fraction form
    7,800.74/11,690.76 = 3,413.42/x
  3. Step 3: Cross multiply
    7,800.74x = 11,690.76 × 3,413.42
  4. Step 4: Simplify right side
    7,800.74x = 39,905,474.00
  5. Step 5: Solve for x
    x = 39,905,474.00/7,800.74
  6. Step 6: Final answer
    x = 5,115.60

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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.