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Finding the Fourth Proportional to 27,141.76, 40,718.48 and 8,421.42

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Solution

The fourth proportional to 27,141.76, 40,718.48 and 8,421.42 is: 12,633.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,141.76 : 40,718.48 = 8,421.42 : x
  2. Step 2: Convert to fraction form
    27,141.76/40,718.48 = 8,421.42/x
  3. Step 3: Cross multiply
    27,141.76x = 40,718.48 × 8,421.42
  4. Step 4: Simplify right side
    27,141.76x = 342,907,379.73
  5. Step 5: Solve for x
    x = 342,907,379.73/27,141.76
  6. Step 6: Final answer
    x = 12,633.94

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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.