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Finding the Fourth Proportional to 8,529.06, 12,785.72 and 7,828.53

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Solution

The fourth proportional to 8,529.06, 12,785.72 and 7,828.53 is: 11,735.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,529.06 : 12,785.72 = 7,828.53 : x
  2. Step 2: Convert to fraction form
    8,529.06/12,785.72 = 7,828.53/x
  3. Step 3: Cross multiply
    8,529.06x = 12,785.72 × 7,828.53
  4. Step 4: Simplify right side
    8,529.06x = 100,093,353.45
  5. Step 5: Solve for x
    x = 100,093,353.45/8,529.06
  6. Step 6: Final answer
    x = 11,735.57

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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.