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Finding the Fourth Proportional to 27,129.80, 40,662.30 and 13,975.40

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Solution

The fourth proportional to 27,129.80, 40,662.30 and 13,975.40 is: 20,946.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,129.80 : 40,662.30 = 13,975.40 : x
  2. Step 2: Convert to fraction form
    27,129.80/40,662.30 = 13,975.40/x
  3. Step 3: Cross multiply
    27,129.80x = 40,662.30 × 13,975.40
  4. Step 4: Simplify right side
    27,129.80x = 568,271,907.42
  5. Step 5: Solve for x
    x = 568,271,907.42/27,129.80
  6. Step 6: Final answer
    x = 20,946.41

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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.