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Finding the Fourth Proportional to 11,859.49, 17,783.20 and 3,959.17

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Solution

The fourth proportional to 11,859.49, 17,783.20 and 3,959.17 is: 5,936.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.49 : 17,783.20 = 3,959.17 : x
  2. Step 2: Convert to fraction form
    11,859.49/17,783.20 = 3,959.17/x
  3. Step 3: Cross multiply
    11,859.49x = 17,783.20 × 3,959.17
  4. Step 4: Simplify right side
    11,859.49x = 70,406,750.22
  5. Step 5: Solve for x
    x = 70,406,750.22/11,859.49
  6. Step 6: Final answer
    x = 5,936.74

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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.