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Finding the Fourth Proportional to 7,428.66, 11,142.99 and 3,043.13

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Solution

The fourth proportional to 7,428.66, 11,142.99 and 3,043.13 is: 4,564.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,428.66 : 11,142.99 = 3,043.13 : x
  2. Step 2: Convert to fraction form
    7,428.66/11,142.99 = 3,043.13/x
  3. Step 3: Cross multiply
    7,428.66x = 11,142.99 × 3,043.13
  4. Step 4: Simplify right side
    7,428.66x = 33,909,511.44
  5. Step 5: Solve for x
    x = 33,909,511.44/7,428.66
  6. Step 6: Final answer
    x = 4,564.69

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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.