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Finding the Fourth Proportional to 8,729.36, 13,093.97 and 5,781.00

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Solution

The fourth proportional to 8,729.36, 13,093.97 and 5,781.00 is: 8,671.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.36 : 13,093.97 = 5,781.00 : x
  2. Step 2: Convert to fraction form
    8,729.36/13,093.97 = 5,781.00/x
  3. Step 3: Cross multiply
    8,729.36x = 13,093.97 × 5,781.00
  4. Step 4: Simplify right side
    8,729.36x = 75,696,230.47
  5. Step 5: Solve for x
    x = 75,696,230.47/8,729.36
  6. Step 6: Final answer
    x = 8,671.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.