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Finding the Fourth Proportional to 5,413.68, 8,115.68 and 1,950.16

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Solution

The fourth proportional to 5,413.68, 8,115.68 and 1,950.16 is: 2,923.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.68 : 8,115.68 = 1,950.16 : x
  2. Step 2: Convert to fraction form
    5,413.68/8,115.68 = 1,950.16/x
  3. Step 3: Cross multiply
    5,413.68x = 8,115.68 × 1,950.16
  4. Step 4: Simplify right side
    5,413.68x = 15,826,874.51
  5. Step 5: Solve for x
    x = 15,826,874.51/5,413.68
  6. Step 6: Final answer
    x = 2,923.50

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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.