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Finding the Fourth Proportional to 12,418.68, 17,137.44 and 6,829.68

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Solution

The fourth proportional to 12,418.68, 17,137.44 and 6,829.68 is: 9,424.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,418.68 : 17,137.44 = 6,829.68 : x
  2. Step 2: Convert to fraction form
    12,418.68/17,137.44 = 6,829.68/x
  3. Step 3: Cross multiply
    12,418.68x = 17,137.44 × 6,829.68
  4. Step 4: Simplify right side
    12,418.68x = 117,043,231.22
  5. Step 5: Solve for x
    x = 117,043,231.22/12,418.68
  6. Step 6: Final answer
    x = 9,424.77

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1.5x scale

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.