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Finding the Fourth Proportional to 7,090.22, 9,784.50 and 3,947.15

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Solution

The fourth proportional to 7,090.22, 9,784.50 and 3,947.15 is: 5,447.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.22 : 9,784.50 = 3,947.15 : x
  2. Step 2: Convert to fraction form
    7,090.22/9,784.50 = 3,947.15/x
  3. Step 3: Cross multiply
    7,090.22x = 9,784.50 × 3,947.15
  4. Step 4: Simplify right side
    7,090.22x = 38,620,928.44
  5. Step 5: Solve for x
    x = 38,620,928.44/7,090.22
  6. Step 6: Final answer
    x = 5,447.07

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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.