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Finding the Fourth Proportional to 13,674.44, 18,872.46 and 7,707.58

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Solution

The fourth proportional to 13,674.44, 18,872.46 and 7,707.58 is: 10,637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.44 : 18,872.46 = 7,707.58 : x
  2. Step 2: Convert to fraction form
    13,674.44/18,872.46 = 7,707.58/x
  3. Step 3: Cross multiply
    13,674.44x = 18,872.46 × 7,707.58
  4. Step 4: Simplify right side
    13,674.44x = 145,460,995.25
  5. Step 5: Solve for x
    x = 145,460,995.25/13,674.44
  6. Step 6: Final answer
    x = 10,637.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.