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Finding the Fourth Proportional to 3,285.65, 4,923.41 and 1,617.86

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Solution

The fourth proportional to 3,285.65, 4,923.41 and 1,617.86 is: 2,424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.65 : 4,923.41 = 1,617.86 : x
  2. Step 2: Convert to fraction form
    3,285.65/4,923.41 = 1,617.86/x
  3. Step 3: Cross multiply
    3,285.65x = 4,923.41 × 1,617.86
  4. Step 4: Simplify right side
    3,285.65x = 7,965,404.46
  5. Step 5: Solve for x
    x = 7,965,404.46/3,285.65
  6. Step 6: Final answer
    x = 2,424.30

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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.