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Finding the Fourth Proportional to 11,687.81, 17,519.40 and 5,756.48

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Solution

The fourth proportional to 11,687.81, 17,519.40 and 5,756.48 is: 8,628.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.81 : 17,519.40 = 5,756.48 : x
  2. Step 2: Convert to fraction form
    11,687.81/17,519.40 = 5,756.48/x
  3. Step 3: Cross multiply
    11,687.81x = 17,519.40 × 5,756.48
  4. Step 4: Simplify right side
    11,687.81x = 100,850,075.71
  5. Step 5: Solve for x
    x = 100,850,075.71/11,687.81
  6. Step 6: Final answer
    x = 8,628.65

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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.