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Finding the Fourth Proportional to 20,669.76, 30,965.76 and 10,288.80

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Solution

The fourth proportional to 20,669.76, 30,965.76 and 10,288.80 is: 15,413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,669.76 : 30,965.76 = 10,288.80 : x
  2. Step 2: Convert to fraction form
    20,669.76/30,965.76 = 10,288.80/x
  3. Step 3: Cross multiply
    20,669.76x = 30,965.76 × 10,288.80
  4. Step 4: Simplify right side
    20,669.76x = 318,600,511.49
  5. Step 5: Solve for x
    x = 318,600,511.49/20,669.76
  6. Step 6: Final answer
    x = 15,413.85

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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.