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Finding the Fourth Proportional to 27,161.80, 40,710.30 and 14,007.40

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Solution

The fourth proportional to 27,161.80, 40,710.30 and 14,007.40 is: 20,994.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,161.80 : 40,710.30 = 14,007.40 : x
  2. Step 2: Convert to fraction form
    27,161.80/40,710.30 = 14,007.40/x
  3. Step 3: Cross multiply
    27,161.80x = 40,710.30 × 14,007.40
  4. Step 4: Simplify right side
    27,161.80x = 570,245,456.22
  5. Step 5: Solve for x
    x = 570,245,456.22/27,161.80
  6. Step 6: Final answer
    x = 20,994.39

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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.