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Finding the Fourth Proportional to 7,834, 10,815.96 and 6,993.27

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Solution

The fourth proportional to 7,834, 10,815.96 and 6,993.27 is: 9,655.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834 : 10,815.96 = 6,993.27 : x
  2. Step 2: Convert to fraction form
    7,834/10,815.96 = 6,993.27/x
  3. Step 3: Cross multiply
    7,834x = 10,815.96 × 6,993.27
  4. Step 4: Simplify right side
    7,834x = 75,638,928.59
  5. Step 5: Solve for x
    x = 75,638,928.59/7,834
  6. Step 6: Final answer
    x = 9,655.21

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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.