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Finding the Fourth Proportional to 31,984.76, 47,980.44 and 12,279.80

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Solution

The fourth proportional to 31,984.76, 47,980.44 and 12,279.80 is: 18,420.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,984.76 : 47,980.44 = 12,279.80 : x
  2. Step 2: Convert to fraction form
    31,984.76/47,980.44 = 12,279.80/x
  3. Step 3: Cross multiply
    31,984.76x = 47,980.44 × 12,279.80
  4. Step 4: Simplify right side
    31,984.76x = 589,190,207.11
  5. Step 5: Solve for x
    x = 589,190,207.11/31,984.76
  6. Step 6: Final answer
    x = 18,420.97

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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.