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Finding the Fourth Proportional to 27,009, 40,513.68 and 8,541

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Solution

The fourth proportional to 27,009, 40,513.68 and 8,541 is: 12,811.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,009 : 40,513.68 = 8,541 : x
  2. Step 2: Convert to fraction form
    27,009/40,513.68 = 8,541/x
  3. Step 3: Cross multiply
    27,009x = 40,513.68 × 8,541
  4. Step 4: Simplify right side
    27,009x = 346,027,340.88
  5. Step 5: Solve for x
    x = 346,027,340.88/27,009
  6. Step 6: Final answer
    x = 12,811.56

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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.