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Finding the Fourth Proportional to 31,879.44, 47,809.44 and 8,502.84

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Solution

The fourth proportional to 31,879.44, 47,809.44 and 8,502.84 is: 12,751.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,879.44 : 47,809.44 = 8,502.84 : x
  2. Step 2: Convert to fraction form
    31,879.44/47,809.44 = 8,502.84/x
  3. Step 3: Cross multiply
    31,879.44x = 47,809.44 × 8,502.84
  4. Step 4: Simplify right side
    31,879.44x = 406,516,018.81
  5. Step 5: Solve for x
    x = 406,516,018.81/31,879.44
  6. Step 6: Final answer
    x = 12,751.67

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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.