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Finding the Fourth Proportional to 11,556.46, 17,300.67 and 7,159.78

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Solution

The fourth proportional to 11,556.46, 17,300.67 and 7,159.78 is: 10,718.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556.46 : 17,300.67 = 7,159.78 : x
  2. Step 2: Convert to fraction form
    11,556.46/17,300.67 = 7,159.78/x
  3. Step 3: Cross multiply
    11,556.46x = 17,300.67 × 7,159.78
  4. Step 4: Simplify right side
    11,556.46x = 123,868,991.05
  5. Step 5: Solve for x
    x = 123,868,991.05/11,556.46
  6. Step 6: Final answer
    x = 10,718.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.