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Finding the Fourth Proportional to 4,942.77, 7,413.90 and 1,245

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Solution

The fourth proportional to 4,942.77, 7,413.90 and 1,245 is: 1,867.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.77 : 7,413.90 = 1,245 : x
  2. Step 2: Convert to fraction form
    4,942.77/7,413.90 = 1,245/x
  3. Step 3: Cross multiply
    4,942.77x = 7,413.90 × 1,245
  4. Step 4: Simplify right side
    4,942.77x = 9,230,305.50
  5. Step 5: Solve for x
    x = 9,230,305.50/4,942.77
  6. Step 6: Final answer
    x = 1,867.44

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Half scale
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Double scale
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1.5x scale

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.