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Finding the Fourth Proportional to 21,888, 30,205.47 and 12,456.57

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Solution

The fourth proportional to 21,888, 30,205.47 and 12,456.57 is: 17,190.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,888 : 30,205.47 = 12,456.57 : x
  2. Step 2: Convert to fraction form
    21,888/30,205.47 = 12,456.57/x
  3. Step 3: Cross multiply
    21,888x = 30,205.47 × 12,456.57
  4. Step 4: Simplify right side
    21,888x = 376,256,551.44
  5. Step 5: Solve for x
    x = 376,256,551.44/21,888
  6. Step 6: Final answer
    x = 17,190.08

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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.