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Finding the Fourth Proportional to 13,675.74, 20,498.96 and 9,768.30

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Solution

The fourth proportional to 13,675.74, 20,498.96 and 9,768.30 is: 14,641.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.74 : 20,498.96 = 9,768.30 : x
  2. Step 2: Convert to fraction form
    13,675.74/20,498.96 = 9,768.30/x
  3. Step 3: Cross multiply
    13,675.74x = 20,498.96 × 9,768.30
  4. Step 4: Simplify right side
    13,675.74x = 200,239,990.97
  5. Step 5: Solve for x
    x = 200,239,990.97/13,675.74
  6. Step 6: Final answer
    x = 14,641.99

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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.