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Finding the Fourth Proportional to 11,959.95, 17,928.29 and 5,718.34

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Solution

The fourth proportional to 11,959.95, 17,928.29 and 5,718.34 is: 8,571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,959.95 : 17,928.29 = 5,718.34 : x
  2. Step 2: Convert to fraction form
    11,959.95/17,928.29 = 5,718.34/x
  3. Step 3: Cross multiply
    11,959.95x = 17,928.29 × 5,718.34
  4. Step 4: Simplify right side
    11,959.95x = 102,520,057.84
  5. Step 5: Solve for x
    x = 102,520,057.84/11,959.95
  6. Step 6: Final answer
    x = 8,571.95

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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.