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Finding the Fourth Proportional to 3,485.76, 5,229.44 and 1,020.49

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Solution

The fourth proportional to 3,485.76, 5,229.44 and 1,020.49 is: 1,530.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.76 : 5,229.44 = 1,020.49 : x
  2. Step 2: Convert to fraction form
    3,485.76/5,229.44 = 1,020.49/x
  3. Step 3: Cross multiply
    3,485.76x = 5,229.44 × 1,020.49
  4. Step 4: Simplify right side
    3,485.76x = 5,336,566.65
  5. Step 5: Solve for x
    x = 5,336,566.65/3,485.76
  6. Step 6: Final answer
    x = 1,530.96

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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.