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Finding the Fourth Proportional to 27,260.09, 40,904.10 and 13,409.09

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Solution

The fourth proportional to 27,260.09, 40,904.10 and 13,409.09 is: 20,120.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,260.09 : 40,904.10 = 13,409.09 : x
  2. Step 2: Convert to fraction form
    27,260.09/40,904.10 = 13,409.09/x
  3. Step 3: Cross multiply
    27,260.09x = 40,904.10 × 13,409.09
  4. Step 4: Simplify right side
    27,260.09x = 548,486,553.75
  5. Step 5: Solve for x
    x = 548,486,553.75/27,260.09
  6. Step 6: Final answer
    x = 20,120.50

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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.