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Finding the Fourth Proportional to 27,160.84, 40,742.11 and 8,440.97

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Solution

The fourth proportional to 27,160.84, 40,742.11 and 8,440.97 is: 12,661.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,160.84 : 40,742.11 = 8,440.97 : x
  2. Step 2: Convert to fraction form
    27,160.84/40,742.11 = 8,440.97/x
  3. Step 3: Cross multiply
    27,160.84x = 40,742.11 × 8,440.97
  4. Step 4: Simplify right side
    27,160.84x = 343,902,928.25
  5. Step 5: Solve for x
    x = 343,902,928.25/27,160.84
  6. Step 6: Final answer
    x = 12,661.72

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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.