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Finding the Fourth Proportional to 38,413.86, 53,001.99 and 21,646.86

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Solution

The fourth proportional to 38,413.86, 53,001.99 and 21,646.86 is: 29,867.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,413.86 : 53,001.99 = 21,646.86 : x
  2. Step 2: Convert to fraction form
    38,413.86/53,001.99 = 21,646.86/x
  3. Step 3: Cross multiply
    38,413.86x = 53,001.99 × 21,646.86
  4. Step 4: Simplify right side
    38,413.86x = 1,147,326,657.25
  5. Step 5: Solve for x
    x = 1,147,326,657.25/38,413.86
  6. Step 6: Final answer
    x = 29,867.52

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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.