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Finding the Fourth Proportional to 11,681.28, 17,520.92 and 4,661

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Solution

The fourth proportional to 11,681.28, 17,520.92 and 4,661 is: 6,991.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.28 : 17,520.92 = 4,661 : x
  2. Step 2: Convert to fraction form
    11,681.28/17,520.92 = 4,661/x
  3. Step 3: Cross multiply
    11,681.28x = 17,520.92 × 4,661
  4. Step 4: Simplify right side
    11,681.28x = 81,665,008.12
  5. Step 5: Solve for x
    x = 81,665,008.12/11,681.28
  6. Step 6: Final answer
    x = 6,991.10

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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.