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Finding the Fourth Proportional to 3,365.89, 5,048.13 and 1,285.43

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Solution

The fourth proportional to 3,365.89, 5,048.13 and 1,285.43 is: 1,927.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.89 : 5,048.13 = 1,285.43 : x
  2. Step 2: Convert to fraction form
    3,365.89/5,048.13 = 1,285.43/x
  3. Step 3: Cross multiply
    3,365.89x = 5,048.13 × 1,285.43
  4. Step 4: Simplify right side
    3,365.89x = 6,488,992.51
  5. Step 5: Solve for x
    x = 6,488,992.51/3,365.89
  6. Step 6: Final answer
    x = 1,927.87

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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.