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Finding the Fourth Proportional to 21,380, 29,512.64 and 19,137.92

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Solution

The fourth proportional to 21,380, 29,512.64 and 19,137.92 is: 26,417.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,380 : 29,512.64 = 19,137.92 : x
  2. Step 2: Convert to fraction form
    21,380/29,512.64 = 19,137.92/x
  3. Step 3: Cross multiply
    21,380x = 29,512.64 × 19,137.92
  4. Step 4: Simplify right side
    21,380x = 564,810,543.31
  5. Step 5: Solve for x
    x = 564,810,543.31/21,380
  6. Step 6: Final answer
    x = 26,417.71

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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.