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Finding the Fourth Proportional to 20,954.56, 31,431.84 and 7,099.84

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Solution

The fourth proportional to 20,954.56, 31,431.84 and 7,099.84 is: 10,649.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,954.56 : 31,431.84 = 7,099.84 : x
  2. Step 2: Convert to fraction form
    20,954.56/31,431.84 = 7,099.84/x
  3. Step 3: Cross multiply
    20,954.56x = 31,431.84 × 7,099.84
  4. Step 4: Simplify right side
    20,954.56x = 223,161,034.91
  5. Step 5: Solve for x
    x = 223,161,034.91/20,954.56
  6. Step 6: Final answer
    x = 10,649.76

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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.