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Finding the Fourth Proportional to 7,758.12, 11,640.28 and 2,828.12

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Solution

The fourth proportional to 7,758.12, 11,640.28 and 2,828.12 is: 4,243.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.12 : 11,640.28 = 2,828.12 : x
  2. Step 2: Convert to fraction form
    7,758.12/11,640.28 = 2,828.12/x
  3. Step 3: Cross multiply
    7,758.12x = 11,640.28 × 2,828.12
  4. Step 4: Simplify right side
    7,758.12x = 32,920,108.67
  5. Step 5: Solve for x
    x = 32,920,108.67/7,758.12
  6. Step 6: Final answer
    x = 4,243.31

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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.