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Finding the Fourth Proportional to 30,169.44, 45,244.56 and 12,636

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Solution

The fourth proportional to 30,169.44, 45,244.56 and 12,636 is: 18,949.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,169.44 : 45,244.56 = 12,636 : x
  2. Step 2: Convert to fraction form
    30,169.44/45,244.56 = 12,636/x
  3. Step 3: Cross multiply
    30,169.44x = 45,244.56 × 12,636
  4. Step 4: Simplify right side
    30,169.44x = 571,710,260.16
  5. Step 5: Solve for x
    x = 571,710,260.16/30,169.44
  6. Step 6: Final answer
    x = 18,949.98

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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.