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Finding the Fourth Proportional to 30,724.92, 42,413.46 and 20,659.20

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Solution

The fourth proportional to 30,724.92, 42,413.46 and 20,659.20 is: 28,518.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,724.92 : 42,413.46 = 20,659.20 : x
  2. Step 2: Convert to fraction form
    30,724.92/42,413.46 = 20,659.20/x
  3. Step 3: Cross multiply
    30,724.92x = 42,413.46 × 20,659.20
  4. Step 4: Simplify right side
    30,724.92x = 876,228,152.83
  5. Step 5: Solve for x
    x = 876,228,152.83/30,724.92
  6. Step 6: Final answer
    x = 28,518.48

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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.