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Finding the Fourth Proportional to 5,428.50, 7,491.33 and 2,944.50

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Solution

The fourth proportional to 5,428.50, 7,491.33 and 2,944.50 is: 4,063.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428.50 : 7,491.33 = 2,944.50 : x
  2. Step 2: Convert to fraction form
    5,428.50/7,491.33 = 2,944.50/x
  3. Step 3: Cross multiply
    5,428.50x = 7,491.33 × 2,944.50
  4. Step 4: Simplify right side
    5,428.50x = 22,058,221.19
  5. Step 5: Solve for x
    x = 22,058,221.19/5,428.50
  6. Step 6: Final answer
    x = 4,063.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.