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Finding the Fourth Proportional to 6,345, 9,517.50 and 1,728

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Solution

The fourth proportional to 6,345, 9,517.50 and 1,728 is: 2,592

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345 : 9,517.50 = 1,728 : x
  2. Step 2: Convert to fraction form
    6,345/9,517.50 = 1,728/x
  3. Step 3: Cross multiply
    6,345x = 9,517.50 × 1,728
  4. Step 4: Simplify right side
    6,345x = 16,446,240
  5. Step 5: Solve for x
    x = 16,446,240/6,345
  6. Step 6: Final answer
    x = 2,592

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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.