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Finding the Fourth Proportional to 6,921.66, 9,551.79 and 4,089

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Solution

The fourth proportional to 6,921.66, 9,551.79 and 4,089 is: 5,642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,921.66 : 9,551.79 = 4,089 : x
  2. Step 2: Convert to fraction form
    6,921.66/9,551.79 = 4,089/x
  3. Step 3: Cross multiply
    6,921.66x = 9,551.79 × 4,089
  4. Step 4: Simplify right side
    6,921.66x = 39,057,269.31
  5. Step 5: Solve for x
    x = 39,057,269.31/6,921.66
  6. Step 6: Final answer
    x = 5,642.76

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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.