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Finding the Fourth Proportional to 21,578, 29,790.60 and 14,138.96

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Solution

The fourth proportional to 21,578, 29,790.60 and 14,138.96 is: 19,520.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,578 : 29,790.60 = 14,138.96 : x
  2. Step 2: Convert to fraction form
    21,578/29,790.60 = 14,138.96/x
  3. Step 3: Cross multiply
    21,578x = 29,790.60 × 14,138.96
  4. Step 4: Simplify right side
    21,578x = 421,208,101.78
  5. Step 5: Solve for x
    x = 421,208,101.78/21,578
  6. Step 6: Final answer
    x = 19,520.26

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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.