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Finding the Fourth Proportional to 7,172.48, 9,894.88 and 4,188

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Solution

The fourth proportional to 7,172.48, 9,894.88 and 4,188 is: 5,777.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.48 : 9,894.88 = 4,188 : x
  2. Step 2: Convert to fraction form
    7,172.48/9,894.88 = 4,188/x
  3. Step 3: Cross multiply
    7,172.48x = 9,894.88 × 4,188
  4. Step 4: Simplify right side
    7,172.48x = 41,439,757.44
  5. Step 5: Solve for x
    x = 41,439,757.44/7,172.48
  6. Step 6: Final answer
    x = 5,777.61

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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.