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Finding the Fourth Proportional to 7,573.80, 11,357.79 and 3,413.64

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Solution

The fourth proportional to 7,573.80, 11,357.79 and 3,413.64 is: 5,119.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573.80 : 11,357.79 = 3,413.64 : x
  2. Step 2: Convert to fraction form
    7,573.80/11,357.79 = 3,413.64/x
  3. Step 3: Cross multiply
    7,573.80x = 11,357.79 × 3,413.64
  4. Step 4: Simplify right side
    7,573.80x = 38,771,406.26
  5. Step 5: Solve for x
    x = 38,771,406.26/7,573.80
  6. Step 6: Final answer
    x = 5,119.15

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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.