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Finding the Fourth Proportional to 11,917.51, 17,858.04 and 6,371.64

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Solution

The fourth proportional to 11,917.51, 17,858.04 and 6,371.64 is: 9,547.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.51 : 17,858.04 = 6,371.64 : x
  2. Step 2: Convert to fraction form
    11,917.51/17,858.04 = 6,371.64/x
  3. Step 3: Cross multiply
    11,917.51x = 17,858.04 × 6,371.64
  4. Step 4: Simplify right side
    11,917.51x = 113,785,046.63
  5. Step 5: Solve for x
    x = 113,785,046.63/11,917.51
  6. Step 6: Final answer
    x = 9,547.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.