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Finding the Fourth Proportional to 9,189, 12,676.89 and 7,191.54

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Solution

The fourth proportional to 9,189, 12,676.89 and 7,191.54 is: 9,921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189 : 12,676.89 = 7,191.54 : x
  2. Step 2: Convert to fraction form
    9,189/12,676.89 = 7,191.54/x
  3. Step 3: Cross multiply
    9,189x = 12,676.89 × 7,191.54
  4. Step 4: Simplify right side
    9,189x = 91,166,361.51
  5. Step 5: Solve for x
    x = 91,166,361.51/9,189
  6. Step 6: Final answer
    x = 9,921.25

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1.5x scale

Why These Related Problems?

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