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Finding the Fourth Proportional to 11,981.76, 17,978.36 and 5,409.96

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Solution

The fourth proportional to 11,981.76, 17,978.36 and 5,409.96 is: 8,117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,981.76 : 17,978.36 = 5,409.96 : x
  2. Step 2: Convert to fraction form
    11,981.76/17,978.36 = 5,409.96/x
  3. Step 3: Cross multiply
    11,981.76x = 17,978.36 × 5,409.96
  4. Step 4: Simplify right side
    11,981.76x = 97,262,208.47
  5. Step 5: Solve for x
    x = 97,262,208.47/11,981.76
  6. Step 6: Final answer
    x = 8,117.52

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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.