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Finding the Fourth Proportional to 11,656, 16,085.37 and 6,940

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Solution

The fourth proportional to 11,656, 16,085.37 and 6,940 is: 9,577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656 : 16,085.37 = 6,940 : x
  2. Step 2: Convert to fraction form
    11,656/16,085.37 = 6,940/x
  3. Step 3: Cross multiply
    11,656x = 16,085.37 × 6,940
  4. Step 4: Simplify right side
    11,656x = 111,632,467.80
  5. Step 5: Solve for x
    x = 111,632,467.80/11,656
  6. Step 6: Final answer
    x = 9,577.25

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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.