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Finding the Fourth Proportional to 3,365.88, 5,049 and 1,285.50

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Solution

The fourth proportional to 3,365.88, 5,049 and 1,285.50 is: 1,928.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.88 : 5,049 = 1,285.50 : x
  2. Step 2: Convert to fraction form
    3,365.88/5,049 = 1,285.50/x
  3. Step 3: Cross multiply
    3,365.88x = 5,049 × 1,285.50
  4. Step 4: Simplify right side
    3,365.88x = 6,490,489.50
  5. Step 5: Solve for x
    x = 6,490,489.50/3,365.88
  6. Step 6: Final answer
    x = 1,928.32

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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.