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Finding the Fourth Proportional to 27,330.68, 40,978.46 and 11,531.39

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Solution

The fourth proportional to 27,330.68, 40,978.46 and 11,531.39 is: 17,289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,330.68 : 40,978.46 = 11,531.39 : x
  2. Step 2: Convert to fraction form
    27,330.68/40,978.46 = 11,531.39/x
  3. Step 3: Cross multiply
    27,330.68x = 40,978.46 × 11,531.39
  4. Step 4: Simplify right side
    27,330.68x = 472,538,427.80
  5. Step 5: Solve for x
    x = 472,538,427.80/27,330.68
  6. Step 6: Final answer
    x = 17,289.67

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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.