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Finding the Fourth Proportional to 11,669, 16,097.66 and 7,893.48

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Solution

The fourth proportional to 11,669, 16,097.66 and 7,893.48 is: 10,889.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,669 : 16,097.66 = 7,893.48 : x
  2. Step 2: Convert to fraction form
    11,669/16,097.66 = 7,893.48/x
  3. Step 3: Cross multiply
    11,669x = 16,097.66 × 7,893.48
  4. Step 4: Simplify right side
    11,669x = 127,066,557.26
  5. Step 5: Solve for x
    x = 127,066,557.26/11,669
  6. Step 6: Final answer
    x = 10,889.24

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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.