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Finding the Fourth Proportional to 13,074.82, 18,045.06 and 7,411.84

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Solution

The fourth proportional to 13,074.82, 18,045.06 and 7,411.84 is: 10,229.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,074.82 : 18,045.06 = 7,411.84 : x
  2. Step 2: Convert to fraction form
    13,074.82/18,045.06 = 7,411.84/x
  3. Step 3: Cross multiply
    13,074.82x = 18,045.06 × 7,411.84
  4. Step 4: Simplify right side
    13,074.82x = 133,747,097.51
  5. Step 5: Solve for x
    x = 133,747,097.51/13,074.82
  6. Step 6: Final answer
    x = 10,229.36

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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.