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Finding the Fourth Proportional to 13,755.25, 18,982.47 and 7,467.63

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Solution

The fourth proportional to 13,755.25, 18,982.47 and 7,467.63 is: 10,305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755.25 : 18,982.47 = 7,467.63 : x
  2. Step 2: Convert to fraction form
    13,755.25/18,982.47 = 7,467.63/x
  3. Step 3: Cross multiply
    13,755.25x = 18,982.47 × 7,467.63
  4. Step 4: Simplify right side
    13,755.25x = 141,754,062.45
  5. Step 5: Solve for x
    x = 141,754,062.45/13,755.25
  6. Step 6: Final answer
    x = 10,305.45

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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.