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Finding the Fourth Proportional to 7,894.36, 10,940.29 and 7,783

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Solution

The fourth proportional to 7,894.36, 10,940.29 and 7,783 is: 10,785.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.36 : 10,940.29 = 7,783 : x
  2. Step 2: Convert to fraction form
    7,894.36/10,940.29 = 7,783/x
  3. Step 3: Cross multiply
    7,894.36x = 10,940.29 × 7,783
  4. Step 4: Simplify right side
    7,894.36x = 85,148,277.07
  5. Step 5: Solve for x
    x = 85,148,277.07/7,894.36
  6. Step 6: Final answer
    x = 10,785.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.