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Finding the Fourth Proportional to 3,273, 4,516.62 and 1,780.88

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Solution

The fourth proportional to 3,273, 4,516.62 and 1,780.88 is: 2,457.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273 : 4,516.62 = 1,780.88 : x
  2. Step 2: Convert to fraction form
    3,273/4,516.62 = 1,780.88/x
  3. Step 3: Cross multiply
    3,273x = 4,516.62 × 1,780.88
  4. Step 4: Simplify right side
    3,273x = 8,043,535.64
  5. Step 5: Solve for x
    x = 8,043,535.64/3,273
  6. Step 6: Final answer
    x = 2,457.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.