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Finding the Fourth Proportional to 30,413.87, 41,969.05 and 16,801.31

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Solution

The fourth proportional to 30,413.87, 41,969.05 and 16,801.31 is: 23,184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,413.87 : 41,969.05 = 16,801.31 : x
  2. Step 2: Convert to fraction form
    30,413.87/41,969.05 = 16,801.31/x
  3. Step 3: Cross multiply
    30,413.87x = 41,969.05 × 16,801.31
  4. Step 4: Simplify right side
    30,413.87x = 705,135,019.46
  5. Step 5: Solve for x
    x = 705,135,019.46/30,413.87
  6. Step 6: Final answer
    x = 23,184.65

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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.