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Finding the Fourth Proportional to 6,200.78, 9,300.73 and 1,817.87

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Solution

The fourth proportional to 6,200.78, 9,300.73 and 1,817.87 is: 2,726.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.78 : 9,300.73 = 1,817.87 : x
  2. Step 2: Convert to fraction form
    6,200.78/9,300.73 = 1,817.87/x
  3. Step 3: Cross multiply
    6,200.78x = 9,300.73 × 1,817.87
  4. Step 4: Simplify right side
    6,200.78x = 16,907,518.05
  5. Step 5: Solve for x
    x = 16,907,518.05/6,200.78
  6. Step 6: Final answer
    x = 2,726.68

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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.