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Finding the Fourth Proportional to 5,305.95, 7,960.02 and 1,608.51

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Solution

The fourth proportional to 5,305.95, 7,960.02 and 1,608.51 is: 2,413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.95 : 7,960.02 = 1,608.51 : x
  2. Step 2: Convert to fraction form
    5,305.95/7,960.02 = 1,608.51/x
  3. Step 3: Cross multiply
    5,305.95x = 7,960.02 × 1,608.51
  4. Step 4: Simplify right side
    5,305.95x = 12,803,771.77
  5. Step 5: Solve for x
    x = 12,803,771.77/5,305.95
  6. Step 6: Final answer
    x = 2,413.10

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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.