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Finding the Fourth Proportional to 11,347, 17,026.98 and 5,191

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Solution

The fourth proportional to 11,347, 17,026.98 and 5,191 is: 7,789.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347 : 17,026.98 = 5,191 : x
  2. Step 2: Convert to fraction form
    11,347/17,026.98 = 5,191/x
  3. Step 3: Cross multiply
    11,347x = 17,026.98 × 5,191
  4. Step 4: Simplify right side
    11,347x = 88,387,053.18
  5. Step 5: Solve for x
    x = 88,387,053.18/11,347
  6. Step 6: Final answer
    x = 7,789.46

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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.