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Finding the Fourth Proportional to 31,388.08, 47,081.48 and 8,014

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Solution

The fourth proportional to 31,388.08, 47,081.48 and 8,014 is: 12,020.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,388.08 : 47,081.48 = 8,014 : x
  2. Step 2: Convert to fraction form
    31,388.08/47,081.48 = 8,014/x
  3. Step 3: Cross multiply
    31,388.08x = 47,081.48 × 8,014
  4. Step 4: Simplify right side
    31,388.08x = 377,310,980.72
  5. Step 5: Solve for x
    x = 377,310,980.72/31,388.08
  6. Step 6: Final answer
    x = 12,020.84

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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.