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Finding the Fourth Proportional to 13,757.86, 18,985.48 and 7,790.09

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Solution

The fourth proportional to 13,757.86, 18,985.48 and 7,790.09 is: 10,750.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.86 : 18,985.48 = 7,790.09 : x
  2. Step 2: Convert to fraction form
    13,757.86/18,985.48 = 7,790.09/x
  3. Step 3: Cross multiply
    13,757.86x = 18,985.48 × 7,790.09
  4. Step 4: Simplify right side
    13,757.86x = 147,898,625.88
  5. Step 5: Solve for x
    x = 147,898,625.88/13,757.86
  6. Step 6: Final answer
    x = 10,750.12

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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.