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Finding the Fourth Proportional to 13,609.68, 20,412 and 4,844.88

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Solution

The fourth proportional to 13,609.68, 20,412 and 4,844.88 is: 7,266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609.68 : 20,412 = 4,844.88 : x
  2. Step 2: Convert to fraction form
    13,609.68/20,412 = 4,844.88/x
  3. Step 3: Cross multiply
    13,609.68x = 20,412 × 4,844.88
  4. Step 4: Simplify right side
    13,609.68x = 98,893,690.56
  5. Step 5: Solve for x
    x = 98,893,690.56/13,609.68
  6. Step 6: Final answer
    x = 7,266.42

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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.