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Finding the Fourth Proportional to 20,149.49, 30,224.52 and 7,002.11

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Solution

The fourth proportional to 20,149.49, 30,224.52 and 7,002.11 is: 10,503.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149.49 : 30,224.52 = 7,002.11 : x
  2. Step 2: Convert to fraction form
    20,149.49/30,224.52 = 7,002.11/x
  3. Step 3: Cross multiply
    20,149.49x = 30,224.52 × 7,002.11
  4. Step 4: Simplify right side
    20,149.49x = 211,635,413.74
  5. Step 5: Solve for x
    x = 211,635,413.74/20,149.49
  6. Step 6: Final answer
    x = 10,503.26

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1.5x scale

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.