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Finding the Fourth Proportional to 30,005.91, 44,978.09 and 11,282.49

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Solution

The fourth proportional to 30,005.91, 44,978.09 and 11,282.49 is: 16,912.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005.91 : 44,978.09 = 11,282.49 : x
  2. Step 2: Convert to fraction form
    30,005.91/44,978.09 = 11,282.49/x
  3. Step 3: Cross multiply
    30,005.91x = 44,978.09 × 11,282.49
  4. Step 4: Simplify right side
    30,005.91x = 507,464,794.23
  5. Step 5: Solve for x
    x = 507,464,794.23/30,005.91
  6. Step 6: Final answer
    x = 16,912.16

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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.