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Finding the Fourth Proportional to 12,841, 17,720.60 and 6,953

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Solution

The fourth proportional to 12,841, 17,720.60 and 6,953 is: 9,595.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841 : 17,720.60 = 6,953 : x
  2. Step 2: Convert to fraction form
    12,841/17,720.60 = 6,953/x
  3. Step 3: Cross multiply
    12,841x = 17,720.60 × 6,953
  4. Step 4: Simplify right side
    12,841x = 123,211,331.80
  5. Step 5: Solve for x
    x = 123,211,331.80/12,841
  6. Step 6: Final answer
    x = 9,595.15

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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.