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Finding the Fourth Proportional to 20,454, 30,680.13 and 6,413.73

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Solution

The fourth proportional to 20,454, 30,680.13 and 6,413.73 is: 9,620.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,454 : 30,680.13 = 6,413.73 : x
  2. Step 2: Convert to fraction form
    20,454/30,680.13 = 6,413.73/x
  3. Step 3: Cross multiply
    20,454x = 30,680.13 × 6,413.73
  4. Step 4: Simplify right side
    20,454x = 196,774,070.18
  5. Step 5: Solve for x
    x = 196,774,070.18/20,454
  6. Step 6: Final answer
    x = 9,620.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.