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Finding the Fourth Proportional to 11,956.05, 17,911.56 and 7,011

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Solution

The fourth proportional to 11,956.05, 17,911.56 and 7,011 is: 10,503.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,956.05 : 17,911.56 = 7,011 : x
  2. Step 2: Convert to fraction form
    11,956.05/17,911.56 = 7,011/x
  3. Step 3: Cross multiply
    11,956.05x = 17,911.56 × 7,011
  4. Step 4: Simplify right side
    11,956.05x = 125,577,947.16
  5. Step 5: Solve for x
    x = 125,577,947.16/11,956.05
  6. Step 6: Final answer
    x = 10,503.30

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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.