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Finding the Fourth Proportional to 38,413.86, 53,009.04 and 21,645.78

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Solution

The fourth proportional to 38,413.86, 53,009.04 and 21,645.78 is: 29,870.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,413.86 : 53,009.04 = 21,645.78 : x
  2. Step 2: Convert to fraction form
    38,413.86/53,009.04 = 21,645.78/x
  3. Step 3: Cross multiply
    38,413.86x = 53,009.04 × 21,645.78
  4. Step 4: Simplify right side
    38,413.86x = 1,147,422,017.85
  5. Step 5: Solve for x
    x = 1,147,422,017.85/38,413.86
  6. Step 6: Final answer
    x = 29,870.00

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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.