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Finding the Fourth Proportional to 7,865.16, 11,798.16 and 2,021.82

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Solution

The fourth proportional to 7,865.16, 11,798.16 and 2,021.82 is: 3,032.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.16 : 11,798.16 = 2,021.82 : x
  2. Step 2: Convert to fraction form
    7,865.16/11,798.16 = 2,021.82/x
  3. Step 3: Cross multiply
    7,865.16x = 11,798.16 × 2,021.82
  4. Step 4: Simplify right side
    7,865.16x = 23,853,755.85
  5. Step 5: Solve for x
    x = 23,853,755.85/7,865.16
  6. Step 6: Final answer
    x = 3,032.84

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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.