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Finding the Fourth Proportional to 7,548.54, 10,413.36 and 5,311.64

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Solution

The fourth proportional to 7,548.54, 10,413.36 and 5,311.64 is: 7,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548.54 : 10,413.36 = 5,311.64 : x
  2. Step 2: Convert to fraction form
    7,548.54/10,413.36 = 5,311.64/x
  3. Step 3: Cross multiply
    7,548.54x = 10,413.36 × 5,311.64
  4. Step 4: Simplify right side
    7,548.54x = 55,312,019.51
  5. Step 5: Solve for x
    x = 55,312,019.51/7,548.54
  6. Step 6: Final answer
    x = 7,327.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.