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Finding the Fourth Proportional to 30,498.89, 45,743.63 and 8,314.06

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Solution

The fourth proportional to 30,498.89, 45,743.63 and 8,314.06 is: 12,469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,498.89 : 45,743.63 = 8,314.06 : x
  2. Step 2: Convert to fraction form
    30,498.89/45,743.63 = 8,314.06/x
  3. Step 3: Cross multiply
    30,498.89x = 45,743.63 × 8,314.06
  4. Step 4: Simplify right side
    30,498.89x = 380,315,190.86
  5. Step 5: Solve for x
    x = 380,315,190.86/30,498.89
  6. Step 6: Final answer
    x = 12,469.80

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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.