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Finding the Fourth Proportional to 12,619.03, 17,413.42 and 7,580.26

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Solution

The fourth proportional to 12,619.03, 17,413.42 and 7,580.26 is: 10,460.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,619.03 : 17,413.42 = 7,580.26 : x
  2. Step 2: Convert to fraction form
    12,619.03/17,413.42 = 7,580.26/x
  3. Step 3: Cross multiply
    12,619.03x = 17,413.42 × 7,580.26
  4. Step 4: Simplify right side
    12,619.03x = 131,998,251.09
  5. Step 5: Solve for x
    x = 131,998,251.09/12,619.03
  6. Step 6: Final answer
    x = 10,460.25

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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.