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Finding the Fourth Proportional to 2,172.93, 3,257.43 and 785.94

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Solution

The fourth proportional to 2,172.93, 3,257.43 and 785.94 is: 1,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.93 : 3,257.43 = 785.94 : x
  2. Step 2: Convert to fraction form
    2,172.93/3,257.43 = 785.94/x
  3. Step 3: Cross multiply
    2,172.93x = 3,257.43 × 785.94
  4. Step 4: Simplify right side
    2,172.93x = 2,560,144.53
  5. Step 5: Solve for x
    x = 2,560,144.53/2,172.93
  6. Step 6: Final answer
    x = 1,178.20

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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.