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Finding the Fourth Proportional to 7,822.40, 11,733.60 and 6,728.90

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Solution

The fourth proportional to 7,822.40, 11,733.60 and 6,728.90 is: 10,093.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.40 : 11,733.60 = 6,728.90 : x
  2. Step 2: Convert to fraction form
    7,822.40/11,733.60 = 6,728.90/x
  3. Step 3: Cross multiply
    7,822.40x = 11,733.60 × 6,728.90
  4. Step 4: Simplify right side
    7,822.40x = 78,954,221.04
  5. Step 5: Solve for x
    x = 78,954,221.04/7,822.40
  6. Step 6: Final answer
    x = 10,093.35

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1.5x scale

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.