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Finding the Fourth Proportional to 13,284.54, 18,333.14 and 7,316.66

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Solution

The fourth proportional to 13,284.54, 18,333.14 and 7,316.66 is: 10,097.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284.54 : 18,333.14 = 7,316.66 : x
  2. Step 2: Convert to fraction form
    13,284.54/18,333.14 = 7,316.66/x
  3. Step 3: Cross multiply
    13,284.54x = 18,333.14 × 7,316.66
  4. Step 4: Simplify right side
    13,284.54x = 134,137,361.36
  5. Step 5: Solve for x
    x = 134,137,361.36/13,284.54
  6. Step 6: Final answer
    x = 10,097.25

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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.