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Finding the Fourth Proportional to 12,480.12, 17,222.46 and 6,891

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Solution

The fourth proportional to 12,480.12, 17,222.46 and 6,891 is: 9,509.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,480.12 : 17,222.46 = 6,891 : x
  2. Step 2: Convert to fraction form
    12,480.12/17,222.46 = 6,891/x
  3. Step 3: Cross multiply
    12,480.12x = 17,222.46 × 6,891
  4. Step 4: Simplify right side
    12,480.12x = 118,679,971.86
  5. Step 5: Solve for x
    x = 118,679,971.86/12,480.12
  6. Step 6: Final answer
    x = 9,509.52

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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.