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Finding the Fourth Proportional to 7,047.08, 9,724.48 and 3,903

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Solution

The fourth proportional to 7,047.08, 9,724.48 and 3,903 is: 5,385.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.08 : 9,724.48 = 3,903 : x
  2. Step 2: Convert to fraction form
    7,047.08/9,724.48 = 3,903/x
  3. Step 3: Cross multiply
    7,047.08x = 9,724.48 × 3,903
  4. Step 4: Simplify right side
    7,047.08x = 37,954,645.44
  5. Step 5: Solve for x
    x = 37,954,645.44/7,047.08
  6. Step 6: Final answer
    x = 5,385.87

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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.