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Finding the Fourth Proportional to 5,805.54, 8,708.46 and 1,645.68

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Solution

The fourth proportional to 5,805.54, 8,708.46 and 1,645.68 is: 2,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.54 : 8,708.46 = 1,645.68 : x
  2. Step 2: Convert to fraction form
    5,805.54/8,708.46 = 1,645.68/x
  3. Step 3: Cross multiply
    5,805.54x = 8,708.46 × 1,645.68
  4. Step 4: Simplify right side
    5,805.54x = 14,331,338.45
  5. Step 5: Solve for x
    x = 14,331,338.45/5,805.54
  6. Step 6: Final answer
    x = 2,468.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.