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Finding the Fourth Proportional to 11,891.88, 17,835.12 and 5,313.78

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Solution

The fourth proportional to 11,891.88, 17,835.12 and 5,313.78 is: 7,969.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.88 : 17,835.12 = 5,313.78 : x
  2. Step 2: Convert to fraction form
    11,891.88/17,835.12 = 5,313.78/x
  3. Step 3: Cross multiply
    11,891.88x = 17,835.12 × 5,313.78
  4. Step 4: Simplify right side
    11,891.88x = 94,771,903.95
  5. Step 5: Solve for x
    x = 94,771,903.95/11,891.88
  6. Step 6: Final answer
    x = 7,969.46

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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.