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Finding the Fourth Proportional to 30,005, 44,976.78 and 12,485

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Solution

The fourth proportional to 30,005, 44,976.78 and 12,485 is: 18,714.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005 : 44,976.78 = 12,485 : x
  2. Step 2: Convert to fraction form
    30,005/44,976.78 = 12,485/x
  3. Step 3: Cross multiply
    30,005x = 44,976.78 × 12,485
  4. Step 4: Simplify right side
    30,005x = 561,535,098.30
  5. Step 5: Solve for x
    x = 561,535,098.30/30,005
  6. Step 6: Final answer
    x = 18,714.72

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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.