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Finding the Fourth Proportional to 13,990.86, 20,983.86 and 5,225.85

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Solution

The fourth proportional to 13,990.86, 20,983.86 and 5,225.85 is: 7,837.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,990.86 : 20,983.86 = 5,225.85 : x
  2. Step 2: Convert to fraction form
    13,990.86/20,983.86 = 5,225.85/x
  3. Step 3: Cross multiply
    13,990.86x = 20,983.86 × 5,225.85
  4. Step 4: Simplify right side
    13,990.86x = 109,658,504.78
  5. Step 5: Solve for x
    x = 109,658,504.78/13,990.86
  6. Step 6: Final answer
    x = 7,837.87

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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.