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Finding the Fourth Proportional to 5,283.72, 7,928.28 and 2,166.03

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Solution

The fourth proportional to 5,283.72, 7,928.28 and 2,166.03 is: 3,250.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.72 : 7,928.28 = 2,166.03 : x
  2. Step 2: Convert to fraction form
    5,283.72/7,928.28 = 2,166.03/x
  3. Step 3: Cross multiply
    5,283.72x = 7,928.28 × 2,166.03
  4. Step 4: Simplify right side
    5,283.72x = 17,172,892.33
  5. Step 5: Solve for x
    x = 17,172,892.33/5,283.72
  6. Step 6: Final answer
    x = 3,250.15

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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.