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Finding the Fourth Proportional to 7,283.70, 10,928.76 and 3,820.14

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Solution

The fourth proportional to 7,283.70, 10,928.76 and 3,820.14 is: 5,731.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283.70 : 10,928.76 = 3,820.14 : x
  2. Step 2: Convert to fraction form
    7,283.70/10,928.76 = 3,820.14/x
  3. Step 3: Cross multiply
    7,283.70x = 10,928.76 × 3,820.14
  4. Step 4: Simplify right side
    7,283.70x = 41,749,393.23
  5. Step 5: Solve for x
    x = 41,749,393.23/7,283.70
  6. Step 6: Final answer
    x = 5,731.89

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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.