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Finding the Fourth Proportional to 20,803.99, 31,199.51 and 6,949.75

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Solution

The fourth proportional to 20,803.99, 31,199.51 and 6,949.75 is: 10,422.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803.99 : 31,199.51 = 6,949.75 : x
  2. Step 2: Convert to fraction form
    20,803.99/31,199.51 = 6,949.75/x
  3. Step 3: Cross multiply
    20,803.99x = 31,199.51 × 6,949.75
  4. Step 4: Simplify right side
    20,803.99x = 216,828,759.87
  5. Step 5: Solve for x
    x = 216,828,759.87/20,803.99
  6. Step 6: Final answer
    x = 10,422.46

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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.