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Finding the Fourth Proportional to 21,978.48, 30,330.66 and 12,416.43

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Solution

The fourth proportional to 21,978.48, 30,330.66 and 12,416.43 is: 17,134.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978.48 : 30,330.66 = 12,416.43 : x
  2. Step 2: Convert to fraction form
    21,978.48/30,330.66 = 12,416.43/x
  3. Step 3: Cross multiply
    21,978.48x = 30,330.66 × 12,416.43
  4. Step 4: Simplify right side
    21,978.48x = 376,598,516.74
  5. Step 5: Solve for x
    x = 376,598,516.74/21,978.48
  6. Step 6: Final answer
    x = 17,134.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.