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Finding the Fourth Proportional to 11,718, 16,170.96 and 6,750

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Solution

The fourth proportional to 11,718, 16,170.96 and 6,750 is: 9,315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,718 : 16,170.96 = 6,750 : x
  2. Step 2: Convert to fraction form
    11,718/16,170.96 = 6,750/x
  3. Step 3: Cross multiply
    11,718x = 16,170.96 × 6,750
  4. Step 4: Simplify right side
    11,718x = 109,153,980
  5. Step 5: Solve for x
    x = 109,153,980/11,718
  6. Step 6: Final answer
    x = 9,315.07

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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.