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Finding the Fourth Proportional to 7,694, 11,542.74 and 2,428.97

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Solution

The fourth proportional to 7,694, 11,542.74 and 2,428.97 is: 3,644.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694 : 11,542.74 = 2,428.97 : x
  2. Step 2: Convert to fraction form
    7,694/11,542.74 = 2,428.97/x
  3. Step 3: Cross multiply
    7,694x = 11,542.74 × 2,428.97
  4. Step 4: Simplify right side
    7,694x = 28,036,969.18
  5. Step 5: Solve for x
    x = 28,036,969.18/7,694
  6. Step 6: Final answer
    x = 3,644.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.