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Finding the Fourth Proportional to 7,188, 10,782 and 2,324

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Solution

The fourth proportional to 7,188, 10,782 and 2,324 is: 3,486

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188 : 10,782 = 2,324 : x
  2. Step 2: Convert to fraction form
    7,188/10,782 = 2,324/x
  3. Step 3: Cross multiply
    7,188x = 10,782 × 2,324
  4. Step 4: Simplify right side
    7,188x = 25,057,368
  5. Step 5: Solve for x
    x = 25,057,368/7,188
  6. Step 6: Final answer
    x = 3,486

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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.