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Finding the Fourth Proportional to 30,467, 45,707.22 and 12,951.80

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Solution

The fourth proportional to 30,467, 45,707.22 and 12,951.80 is: 19,430.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,467 : 45,707.22 = 12,951.80 : x
  2. Step 2: Convert to fraction form
    30,467/45,707.22 = 12,951.80/x
  3. Step 3: Cross multiply
    30,467x = 45,707.22 × 12,951.80
  4. Step 4: Simplify right side
    30,467x = 591,990,772.00
  5. Step 5: Solve for x
    x = 591,990,772.00/30,467
  6. Step 6: Final answer
    x = 19,430.56

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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.