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Finding the Fourth Proportional to 13,755, 18,982.31 and 7,467.78

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Solution

The fourth proportional to 13,755, 18,982.31 and 7,467.78 is: 10,305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755 : 18,982.31 = 7,467.78 : x
  2. Step 2: Convert to fraction form
    13,755/18,982.31 = 7,467.78/x
  3. Step 3: Cross multiply
    13,755x = 18,982.31 × 7,467.78
  4. Step 4: Simplify right side
    13,755x = 141,755,677.63
  5. Step 5: Solve for x
    x = 141,755,677.63/13,755
  6. Step 6: Final answer
    x = 10,305.76

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1.5x scale

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.