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Finding the Fourth Proportional to 38,413.50, 53,010.63 and 20,749.50

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Solution

The fourth proportional to 38,413.50, 53,010.63 and 20,749.50 is: 28,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,413.50 : 53,010.63 = 20,749.50 : x
  2. Step 2: Convert to fraction form
    38,413.50/53,010.63 = 20,749.50/x
  3. Step 3: Cross multiply
    38,413.50x = 53,010.63 × 20,749.50
  4. Step 4: Simplify right side
    38,413.50x = 1,099,944,067.19
  5. Step 5: Solve for x
    x = 1,099,944,067.19/38,413.50
  6. Step 6: Final answer
    x = 28,634.31

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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.