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Finding the Fourth Proportional to 13,755.69, 18,982.87 and 7,468.06

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Solution

The fourth proportional to 13,755.69, 18,982.87 and 7,468.06 is: 10,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755.69 : 18,982.87 = 7,468.06 : x
  2. Step 2: Convert to fraction form
    13,755.69/18,982.87 = 7,468.06/x
  3. Step 3: Cross multiply
    13,755.69x = 18,982.87 × 7,468.06
  4. Step 4: Simplify right side
    13,755.69x = 141,765,174.79
  5. Step 5: Solve for x
    x = 141,765,174.79/13,755.69
  6. Step 6: Final answer
    x = 10,305.93

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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.