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Finding the Fourth Proportional to 20,414.56, 30,624 and 7,268.16

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Solution

The fourth proportional to 20,414.56, 30,624 and 7,268.16 is: 10,903.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,414.56 : 30,624 = 7,268.16 : x
  2. Step 2: Convert to fraction form
    20,414.56/30,624 = 7,268.16/x
  3. Step 3: Cross multiply
    20,414.56x = 30,624 × 7,268.16
  4. Step 4: Simplify right side
    20,414.56x = 222,580,131.84
  5. Step 5: Solve for x
    x = 222,580,131.84/20,414.56
  6. Step 6: Final answer
    x = 10,903.01

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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.