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Finding the Fourth Proportional to 12,468, 17,205.84 and 6,879

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Solution

The fourth proportional to 12,468, 17,205.84 and 6,879 is: 9,493.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468 : 17,205.84 = 6,879 : x
  2. Step 2: Convert to fraction form
    12,468/17,205.84 = 6,879/x
  3. Step 3: Cross multiply
    12,468x = 17,205.84 × 6,879
  4. Step 4: Simplify right side
    12,468x = 118,358,973.36
  5. Step 5: Solve for x
    x = 118,358,973.36/12,468
  6. Step 6: Final answer
    x = 9,493.02

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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.