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Finding the Fourth Proportional to 27,141.16, 40,717.54 and 8,420.78

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Solution

The fourth proportional to 27,141.16, 40,717.54 and 8,420.78 is: 12,632.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,141.16 : 40,717.54 = 8,420.78 : x
  2. Step 2: Convert to fraction form
    27,141.16/40,717.54 = 8,420.78/x
  3. Step 3: Cross multiply
    27,141.16x = 40,717.54 × 8,420.78
  4. Step 4: Simplify right side
    27,141.16x = 342,873,446.48
  5. Step 5: Solve for x
    x = 342,873,446.48/27,141.16
  6. Step 6: Final answer
    x = 12,632.97

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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.