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Finding the Fourth Proportional to 12,658, 17,467.97 and 6,993.14

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Solution

The fourth proportional to 12,658, 17,467.97 and 6,993.14 is: 9,650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658 : 17,467.97 = 6,993.14 : x
  2. Step 2: Convert to fraction form
    12,658/17,467.97 = 6,993.14/x
  3. Step 3: Cross multiply
    12,658x = 17,467.97 × 6,993.14
  4. Step 4: Simplify right side
    12,658x = 122,155,872.39
  5. Step 5: Solve for x
    x = 122,155,872.39/12,658
  6. Step 6: Final answer
    x = 9,650.49

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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.