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Finding the Fourth Proportional to 20,412.68, 30,619.02 and 6,562.76

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Solution

The fourth proportional to 20,412.68, 30,619.02 and 6,562.76 is: 9,844.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,412.68 : 30,619.02 = 6,562.76 : x
  2. Step 2: Convert to fraction form
    20,412.68/30,619.02 = 6,562.76/x
  3. Step 3: Cross multiply
    20,412.68x = 30,619.02 × 6,562.76
  4. Step 4: Simplify right side
    20,412.68x = 200,945,279.70
  5. Step 5: Solve for x
    x = 200,945,279.70/20,412.68
  6. Step 6: Final answer
    x = 9,844.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.