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Finding the Fourth Proportional to 27,677.90, 41,509.16 and 7,682.79

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Solution

The fourth proportional to 27,677.90, 41,509.16 and 7,682.79 is: 11,522.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,677.90 : 41,509.16 = 7,682.79 : x
  2. Step 2: Convert to fraction form
    27,677.90/41,509.16 = 7,682.79/x
  3. Step 3: Cross multiply
    27,677.90x = 41,509.16 × 7,682.79
  4. Step 4: Simplify right side
    27,677.90x = 318,906,120.94
  5. Step 5: Solve for x
    x = 318,906,120.94/27,677.90
  6. Step 6: Final answer
    x = 11,522.05

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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.