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Finding the Fourth Proportional to 12,751, 17,598.03 and 7,162

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Solution

The fourth proportional to 12,751, 17,598.03 and 7,162 is: 9,884.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751 : 17,598.03 = 7,162 : x
  2. Step 2: Convert to fraction form
    12,751/17,598.03 = 7,162/x
  3. Step 3: Cross multiply
    12,751x = 17,598.03 × 7,162
  4. Step 4: Simplify right side
    12,751x = 126,037,090.86
  5. Step 5: Solve for x
    x = 126,037,090.86/12,751
  6. Step 6: Final answer
    x = 9,884.49

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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.