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Finding the Fourth Proportional to 3,172.88, 4,759.68 and 1,323

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Solution

The fourth proportional to 3,172.88, 4,759.68 and 1,323 is: 1,984.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.88 : 4,759.68 = 1,323 : x
  2. Step 2: Convert to fraction form
    3,172.88/4,759.68 = 1,323/x
  3. Step 3: Cross multiply
    3,172.88x = 4,759.68 × 1,323
  4. Step 4: Simplify right side
    3,172.88x = 6,297,056.64
  5. Step 5: Solve for x
    x = 6,297,056.64/3,172.88
  6. Step 6: Final answer
    x = 1,984.65

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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.