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Finding the Fourth Proportional to 39,413.70, 54,392.10 and 22,420.39

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Solution

The fourth proportional to 39,413.70, 54,392.10 and 22,420.39 is: 30,940.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,413.70 : 54,392.10 = 22,420.39 : x
  2. Step 2: Convert to fraction form
    39,413.70/54,392.10 = 22,420.39/x
  3. Step 3: Cross multiply
    39,413.70x = 54,392.10 × 22,420.39
  4. Step 4: Simplify right side
    39,413.70x = 1,219,492,043.02
  5. Step 5: Solve for x
    x = 1,219,492,043.02/39,413.70
  6. Step 6: Final answer
    x = 30,940.81

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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.