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Finding the Fourth Proportional to 12,658, 17,468.16 and 6,992.60

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Solution

The fourth proportional to 12,658, 17,468.16 and 6,992.60 is: 9,649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658 : 17,468.16 = 6,992.60 : x
  2. Step 2: Convert to fraction form
    12,658/17,468.16 = 6,992.60/x
  3. Step 3: Cross multiply
    12,658x = 17,468.16 × 6,992.60
  4. Step 4: Simplify right side
    12,658x = 122,147,855.62
  5. Step 5: Solve for x
    x = 122,147,855.62/12,658
  6. Step 6: Final answer
    x = 9,649.85

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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.