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Finding the Fourth Proportional to 27,986.85, 41,987.70 and 8,267.40

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Solution

The fourth proportional to 27,986.85, 41,987.70 and 8,267.40 is: 12,403.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,986.85 : 41,987.70 = 8,267.40 : x
  2. Step 2: Convert to fraction form
    27,986.85/41,987.70 = 8,267.40/x
  3. Step 3: Cross multiply
    27,986.85x = 41,987.70 × 8,267.40
  4. Step 4: Simplify right side
    27,986.85x = 347,129,110.98
  5. Step 5: Solve for x
    x = 347,129,110.98/27,986.85
  6. Step 6: Final answer
    x = 12,403.29

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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.