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Finding the Fourth Proportional to 12,375, 17,077.50 and 6,786

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Solution

The fourth proportional to 12,375, 17,077.50 and 6,786 is: 9,364.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,375 : 17,077.50 = 6,786 : x
  2. Step 2: Convert to fraction form
    12,375/17,077.50 = 6,786/x
  3. Step 3: Cross multiply
    12,375x = 17,077.50 × 6,786
  4. Step 4: Simplify right side
    12,375x = 115,887,915
  5. Step 5: Solve for x
    x = 115,887,915/12,375
  6. Step 6: Final answer
    x = 9,364.68

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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.