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Finding the Fourth Proportional to 6,923.25, 9,554.22 and 4,128.75

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Solution

The fourth proportional to 6,923.25, 9,554.22 and 4,128.75 is: 5,697.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,923.25 : 9,554.22 = 4,128.75 : x
  2. Step 2: Convert to fraction form
    6,923.25/9,554.22 = 4,128.75/x
  3. Step 3: Cross multiply
    6,923.25x = 9,554.22 × 4,128.75
  4. Step 4: Simplify right side
    6,923.25x = 39,446,985.83
  5. Step 5: Solve for x
    x = 39,446,985.83/6,923.25
  6. Step 6: Final answer
    x = 5,697.76

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