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Finding the Fourth Proportional to 5,391.26, 8,087.02 and 1,928.50

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Solution

The fourth proportional to 5,391.26, 8,087.02 and 1,928.50 is: 2,892.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,391.26 : 8,087.02 = 1,928.50 : x
  2. Step 2: Convert to fraction form
    5,391.26/8,087.02 = 1,928.50/x
  3. Step 3: Cross multiply
    5,391.26x = 8,087.02 × 1,928.50
  4. Step 4: Simplify right side
    5,391.26x = 15,595,818.07
  5. Step 5: Solve for x
    x = 15,595,818.07/5,391.26
  6. Step 6: Final answer
    x = 2,892.80

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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.