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Finding the Fourth Proportional to 12,567, 17,343 and 6,978

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Solution

The fourth proportional to 12,567, 17,343 and 6,978 is: 9,629.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567 : 17,343 = 6,978 : x
  2. Step 2: Convert to fraction form
    12,567/17,343 = 6,978/x
  3. Step 3: Cross multiply
    12,567x = 17,343 × 6,978
  4. Step 4: Simplify right side
    12,567x = 121,019,454
  5. Step 5: Solve for x
    x = 121,019,454/12,567
  6. Step 6: Final answer
    x = 9,629.94

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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.