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Finding the Fourth Proportional to 5,385.26, 8,078.02 and 1,922.50

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Solution

The fourth proportional to 5,385.26, 8,078.02 and 1,922.50 is: 2,883.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.26 : 8,078.02 = 1,922.50 : x
  2. Step 2: Convert to fraction form
    5,385.26/8,078.02 = 1,922.50/x
  3. Step 3: Cross multiply
    5,385.26x = 8,078.02 × 1,922.50
  4. Step 4: Simplify right side
    5,385.26x = 15,529,993.45
  5. Step 5: Solve for x
    x = 15,529,993.45/5,385.26
  6. Step 6: Final answer
    x = 2,883.80

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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.