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Finding the Fourth Proportional to 11,978.70, 17,950.95 and 8,833.92

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Solution

The fourth proportional to 11,978.70, 17,950.95 and 8,833.92 is: 13,238.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.70 : 17,950.95 = 8,833.92 : x
  2. Step 2: Convert to fraction form
    11,978.70/17,950.95 = 8,833.92/x
  3. Step 3: Cross multiply
    11,978.70x = 17,950.95 × 8,833.92
  4. Step 4: Simplify right side
    11,978.70x = 158,577,256.22
  5. Step 5: Solve for x
    x = 158,577,256.22/11,978.70
  6. Step 6: Final answer
    x = 13,238.27

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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.