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Finding the Fourth Proportional to 27,847.72, 41,771.58 and 13,987

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Solution

The fourth proportional to 27,847.72, 41,771.58 and 13,987 is: 20,980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,847.72 : 41,771.58 = 13,987 : x
  2. Step 2: Convert to fraction form
    27,847.72/41,771.58 = 13,987/x
  3. Step 3: Cross multiply
    27,847.72x = 41,771.58 × 13,987
  4. Step 4: Simplify right side
    27,847.72x = 584,259,089.46
  5. Step 5: Solve for x
    x = 584,259,089.46/27,847.72
  6. Step 6: Final answer
    x = 20,980.50

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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.