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Finding the Fourth Proportional to 27,185.88, 40,777 and 7,462.80

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Solution

The fourth proportional to 27,185.88, 40,777 and 7,462.80 is: 11,193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,185.88 : 40,777 = 7,462.80 : x
  2. Step 2: Convert to fraction form
    27,185.88/40,777 = 7,462.80/x
  3. Step 3: Cross multiply
    27,185.88x = 40,777 × 7,462.80
  4. Step 4: Simplify right side
    27,185.88x = 304,310,595.60
  5. Step 5: Solve for x
    x = 304,310,595.60/27,185.88
  6. Step 6: Final answer
    x = 11,193.70

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1.5x scale

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.