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Finding the Fourth Proportional to 3,285.44, 4,929.16 and 1,435.68

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Solution

The fourth proportional to 3,285.44, 4,929.16 and 1,435.68 is: 2,153.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.44 : 4,929.16 = 1,435.68 : x
  2. Step 2: Convert to fraction form
    3,285.44/4,929.16 = 1,435.68/x
  3. Step 3: Cross multiply
    3,285.44x = 4,929.16 × 1,435.68
  4. Step 4: Simplify right side
    3,285.44x = 7,076,696.43
  5. Step 5: Solve for x
    x = 7,076,696.43/3,285.44
  6. Step 6: Final answer
    x = 2,153.96

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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.