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Finding the Fourth Proportional to 21,930.56, 30,264 and 12,498.56

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Solution

The fourth proportional to 21,930.56, 30,264 and 12,498.56 is: 17,247.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,930.56 : 30,264 = 12,498.56 : x
  2. Step 2: Convert to fraction form
    21,930.56/30,264 = 12,498.56/x
  3. Step 3: Cross multiply
    21,930.56x = 30,264 × 12,498.56
  4. Step 4: Simplify right side
    21,930.56x = 378,256,419.84
  5. Step 5: Solve for x
    x = 378,256,419.84/21,930.56
  6. Step 6: Final answer
    x = 17,247.91

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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.