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Finding the Fourth Proportional to 21,828.44, 30,124.16 and 12,397

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Solution

The fourth proportional to 21,828.44, 30,124.16 and 12,397 is: 17,108.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,828.44 : 30,124.16 = 12,397 : x
  2. Step 2: Convert to fraction form
    21,828.44/30,124.16 = 12,397/x
  3. Step 3: Cross multiply
    21,828.44x = 30,124.16 × 12,397
  4. Step 4: Simplify right side
    21,828.44x = 373,449,211.52
  5. Step 5: Solve for x
    x = 373,449,211.52/21,828.44
  6. Step 6: Final answer
    x = 17,108.38

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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.