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Finding the Fourth Proportional to 5,669.31, 7,823.69 and 3,311

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Solution

The fourth proportional to 5,669.31, 7,823.69 and 3,311 is: 4,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.31 : 7,823.69 = 3,311 : x
  2. Step 2: Convert to fraction form
    5,669.31/7,823.69 = 3,311/x
  3. Step 3: Cross multiply
    5,669.31x = 7,823.69 × 3,311
  4. Step 4: Simplify right side
    5,669.31x = 25,904,237.59
  5. Step 5: Solve for x
    x = 25,904,237.59/5,669.31
  6. Step 6: Final answer
    x = 4,569.20

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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.