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Finding the Fourth Proportional to 4,891, 7,336.50 and 1,428.28

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Solution

The fourth proportional to 4,891, 7,336.50 and 1,428.28 is: 2,142.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891 : 7,336.50 = 1,428.28 : x
  2. Step 2: Convert to fraction form
    4,891/7,336.50 = 1,428.28/x
  3. Step 3: Cross multiply
    4,891x = 7,336.50 × 1,428.28
  4. Step 4: Simplify right side
    4,891x = 10,478,576.22
  5. Step 5: Solve for x
    x = 10,478,576.22/4,891
  6. Step 6: Final answer
    x = 2,142.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.