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Finding the Fourth Proportional to 27,175.80, 40,731.30 and 14,021.40

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Solution

The fourth proportional to 27,175.80, 40,731.30 and 14,021.40 is: 21,015.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,175.80 : 40,731.30 = 14,021.40 : x
  2. Step 2: Convert to fraction form
    27,175.80/40,731.30 = 14,021.40/x
  3. Step 3: Cross multiply
    27,175.80x = 40,731.30 × 14,021.40
  4. Step 4: Simplify right side
    27,175.80x = 571,109,849.82
  5. Step 5: Solve for x
    x = 571,109,849.82/27,175.80
  6. Step 6: Final answer
    x = 21,015.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.