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Finding the Fourth Proportional to 7,821.93, 11,674.15 and 6,763.07

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Solution

The fourth proportional to 7,821.93, 11,674.15 and 6,763.07 is: 10,093.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.93 : 11,674.15 = 6,763.07 : x
  2. Step 2: Convert to fraction form
    7,821.93/11,674.15 = 6,763.07/x
  3. Step 3: Cross multiply
    7,821.93x = 11,674.15 × 6,763.07
  4. Step 4: Simplify right side
    7,821.93x = 78,953,059.83
  5. Step 5: Solve for x
    x = 78,953,059.83/7,821.93
  6. Step 6: Final answer
    x = 10,093.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.