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Finding the Fourth Proportional to 5,817.45, 8,721.78 and 2,897.82

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Solution

The fourth proportional to 5,817.45, 8,721.78 and 2,897.82 is: 4,344.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.45 : 8,721.78 = 2,897.82 : x
  2. Step 2: Convert to fraction form
    5,817.45/8,721.78 = 2,897.82/x
  3. Step 3: Cross multiply
    5,817.45x = 8,721.78 × 2,897.82
  4. Step 4: Simplify right side
    5,817.45x = 25,274,148.52
  5. Step 5: Solve for x
    x = 25,274,148.52/5,817.45
  6. Step 6: Final answer
    x = 4,344.54

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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.