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Finding the Fourth Proportional to 11,681.76, 17,528.72 and 3,786.70

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Solution

The fourth proportional to 11,681.76, 17,528.72 and 3,786.70 is: 5,682.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.76 : 17,528.72 = 3,786.70 : x
  2. Step 2: Convert to fraction form
    11,681.76/17,528.72 = 3,786.70/x
  3. Step 3: Cross multiply
    11,681.76x = 17,528.72 × 3,786.70
  4. Step 4: Simplify right side
    11,681.76x = 66,376,004.02
  5. Step 5: Solve for x
    x = 66,376,004.02/11,681.76
  6. Step 6: Final answer
    x = 5,682.02

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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.