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Finding the Fourth Proportional to 19,672.56, 27,143.64 and 11,718

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Solution

The fourth proportional to 19,672.56, 27,143.64 and 11,718 is: 16,168.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,672.56 : 27,143.64 = 11,718 : x
  2. Step 2: Convert to fraction form
    19,672.56/27,143.64 = 11,718/x
  3. Step 3: Cross multiply
    19,672.56x = 27,143.64 × 11,718
  4. Step 4: Simplify right side
    19,672.56x = 318,069,173.52
  5. Step 5: Solve for x
    x = 318,069,173.52/19,672.56
  6. Step 6: Final answer
    x = 16,168.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.