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Finding the Fourth Proportional to 11,278, 16,921.86 and 6,661

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Solution

The fourth proportional to 11,278, 16,921.86 and 6,661 is: 9,994.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,278 : 16,921.86 = 6,661 : x
  2. Step 2: Convert to fraction form
    11,278/16,921.86 = 6,661/x
  3. Step 3: Cross multiply
    11,278x = 16,921.86 × 6,661
  4. Step 4: Simplify right side
    11,278x = 112,716,509.46
  5. Step 5: Solve for x
    x = 112,716,509.46/11,278
  6. Step 6: Final answer
    x = 9,994.37

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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.