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Finding the Fourth Proportional to 11,413.14, 15,741.79 and 7,629.65

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Solution

The fourth proportional to 11,413.14, 15,741.79 and 7,629.65 is: 10,523.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.14 : 15,741.79 = 7,629.65 : x
  2. Step 2: Convert to fraction form
    11,413.14/15,741.79 = 7,629.65/x
  3. Step 3: Cross multiply
    11,413.14x = 15,741.79 × 7,629.65
  4. Step 4: Simplify right side
    11,413.14x = 120,104,368.35
  5. Step 5: Solve for x
    x = 120,104,368.35/11,413.14
  6. Step 6: Final answer
    x = 10,523.34

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1.5x scale

Why These Related Problems?

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