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Finding the Fourth Proportional to 27,212.76, 40,808.07 and 8,486.51

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Solution

The fourth proportional to 27,212.76, 40,808.07 and 8,486.51 is: 12,726.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,212.76 : 40,808.07 = 8,486.51 : x
  2. Step 2: Convert to fraction form
    27,212.76/40,808.07 = 8,486.51/x
  3. Step 3: Cross multiply
    27,212.76x = 40,808.07 × 8,486.51
  4. Step 4: Simplify right side
    27,212.76x = 346,317,890.10
  5. Step 5: Solve for x
    x = 346,317,890.10/27,212.76
  6. Step 6: Final answer
    x = 12,726.31

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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.