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Finding the Fourth Proportional to 11,947.76, 17,922.04 and 9,178.64

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Solution

The fourth proportional to 11,947.76, 17,922.04 and 9,178.64 is: 13,768.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947.76 : 17,922.04 = 9,178.64 : x
  2. Step 2: Convert to fraction form
    11,947.76/17,922.04 = 9,178.64/x
  3. Step 3: Cross multiply
    11,947.76x = 17,922.04 × 9,178.64
  4. Step 4: Simplify right side
    11,947.76x = 164,499,953.23
  5. Step 5: Solve for x
    x = 164,499,953.23/11,947.76
  6. Step 6: Final answer
    x = 13,768.27

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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.