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Finding the Fourth Proportional to 6,945.98, 9,580.50 and 4,425.48

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Solution

The fourth proportional to 6,945.98, 9,580.50 and 4,425.48 is: 6,104.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.98 : 9,580.50 = 4,425.48 : x
  2. Step 2: Convert to fraction form
    6,945.98/9,580.50 = 4,425.48/x
  3. Step 3: Cross multiply
    6,945.98x = 9,580.50 × 4,425.48
  4. Step 4: Simplify right side
    6,945.98x = 42,398,311.14
  5. Step 5: Solve for x
    x = 42,398,311.14/6,945.98
  6. Step 6: Final answer
    x = 6,104.01

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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.