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Finding the Fourth Proportional to 5,753.80, 8,631.90 and 1,858.60

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Solution

The fourth proportional to 5,753.80, 8,631.90 and 1,858.60 is: 2,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.80 : 8,631.90 = 1,858.60 : x
  2. Step 2: Convert to fraction form
    5,753.80/8,631.90 = 1,858.60/x
  3. Step 3: Cross multiply
    5,753.80x = 8,631.90 × 1,858.60
  4. Step 4: Simplify right side
    5,753.80x = 16,043,249.34
  5. Step 5: Solve for x
    x = 16,043,249.34/5,753.80
  6. Step 6: Final answer
    x = 2,788.29

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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.