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Finding the Fourth Proportional to 21,600, 29,795.90 and 12,645.78

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Solution

The fourth proportional to 21,600, 29,795.90 and 12,645.78 is: 17,444.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,600 : 29,795.90 = 12,645.78 : x
  2. Step 2: Convert to fraction form
    21,600/29,795.90 = 12,645.78/x
  3. Step 3: Cross multiply
    21,600x = 29,795.90 × 12,645.78
  4. Step 4: Simplify right side
    21,600x = 376,792,333.07
  5. Step 5: Solve for x
    x = 376,792,333.07/21,600
  6. Step 6: Final answer
    x = 17,444.09

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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.