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Finding the Fourth Proportional to 11,878, 16,391.68 and 7,162.48

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Solution

The fourth proportional to 11,878, 16,391.68 and 7,162.48 is: 9,884.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878 : 16,391.68 = 7,162.48 : x
  2. Step 2: Convert to fraction form
    11,878/16,391.68 = 7,162.48/x
  3. Step 3: Cross multiply
    11,878x = 16,391.68 × 7,162.48
  4. Step 4: Simplify right side
    11,878x = 117,405,080.17
  5. Step 5: Solve for x
    x = 117,405,080.17/11,878
  6. Step 6: Final answer
    x = 9,884.25

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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.