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Finding the Fourth Proportional to 38,407.94, 53,003.16 and 21,413.25

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Solution

The fourth proportional to 38,407.94, 53,003.16 and 21,413.25 is: 29,550.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,407.94 : 53,003.16 = 21,413.25 : x
  2. Step 2: Convert to fraction form
    38,407.94/53,003.16 = 21,413.25/x
  3. Step 3: Cross multiply
    38,407.94x = 53,003.16 × 21,413.25
  4. Step 4: Simplify right side
    38,407.94x = 1,134,969,915.87
  5. Step 5: Solve for x
    x = 1,134,969,915.87/38,407.94
  6. Step 6: Final answer
    x = 29,550.40

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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.