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Finding the Fourth Proportional to 15,757.13, 21,745.29 and 8,684.00

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Solution

The fourth proportional to 15,757.13, 21,745.29 and 8,684.00 is: 11,984.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,757.13 : 21,745.29 = 8,684.00 : x
  2. Step 2: Convert to fraction form
    15,757.13/21,745.29 = 8,684.00/x
  3. Step 3: Cross multiply
    15,757.13x = 21,745.29 × 8,684.00
  4. Step 4: Simplify right side
    15,757.13x = 188,836,152.72
  5. Step 5: Solve for x
    x = 188,836,152.72/15,757.13
  6. Step 6: Final answer
    x = 11,984.18

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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.