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Finding the Fourth Proportional to 11,911.12, 17,872.64 and 5,342

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Solution

The fourth proportional to 11,911.12, 17,872.64 and 5,342 is: 8,015.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.12 : 17,872.64 = 5,342 : x
  2. Step 2: Convert to fraction form
    11,911.12/17,872.64 = 5,342/x
  3. Step 3: Cross multiply
    11,911.12x = 17,872.64 × 5,342
  4. Step 4: Simplify right side
    11,911.12x = 95,475,642.88
  5. Step 5: Solve for x
    x = 95,475,642.88/11,911.12
  6. Step 6: Final answer
    x = 8,015.67

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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.