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Finding the Fourth Proportional to 10,394.25, 14,344.16 and 5,678.54

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Solution

The fourth proportional to 10,394.25, 14,344.16 and 5,678.54 is: 7,836.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.25 : 14,344.16 = 5,678.54 : x
  2. Step 2: Convert to fraction form
    10,394.25/14,344.16 = 5,678.54/x
  3. Step 3: Cross multiply
    10,394.25x = 14,344.16 × 5,678.54
  4. Step 4: Simplify right side
    10,394.25x = 81,453,786.21
  5. Step 5: Solve for x
    x = 81,453,786.21/10,394.25
  6. Step 6: Final answer
    x = 7,836.43

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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.