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Finding the Fourth Proportional to 13,757.24, 18,985.38 and 8,092.40

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Solution

The fourth proportional to 13,757.24, 18,985.38 and 8,092.40 is: 11,167.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.24 : 18,985.38 = 8,092.40 : x
  2. Step 2: Convert to fraction form
    13,757.24/18,985.38 = 8,092.40/x
  3. Step 3: Cross multiply
    13,757.24x = 18,985.38 × 8,092.40
  4. Step 4: Simplify right side
    13,757.24x = 153,637,289.11
  5. Step 5: Solve for x
    x = 153,637,289.11/13,757.24
  6. Step 6: Final answer
    x = 11,167.74

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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.