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Finding the Fourth Proportional to 13,424.94, 18,525.62 and 7,456.46

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Solution

The fourth proportional to 13,424.94, 18,525.62 and 7,456.46 is: 10,289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424.94 : 18,525.62 = 7,456.46 : x
  2. Step 2: Convert to fraction form
    13,424.94/18,525.62 = 7,456.46/x
  3. Step 3: Cross multiply
    13,424.94x = 18,525.62 × 7,456.46
  4. Step 4: Simplify right side
    13,424.94x = 138,135,544.51
  5. Step 5: Solve for x
    x = 138,135,544.51/13,424.94
  6. Step 6: Final answer
    x = 10,289.47

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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.