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Finding the Fourth Proportional to 5,815, 8,021.28 and 3,457

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Solution

The fourth proportional to 5,815, 8,021.28 and 3,457 is: 4,768.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815 : 8,021.28 = 3,457 : x
  2. Step 2: Convert to fraction form
    5,815/8,021.28 = 3,457/x
  3. Step 3: Cross multiply
    5,815x = 8,021.28 × 3,457
  4. Step 4: Simplify right side
    5,815x = 27,729,564.96
  5. Step 5: Solve for x
    x = 27,729,564.96/5,815
  6. Step 6: Final answer
    x = 4,768.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.