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Finding the Fourth Proportional to 30,005.36, 45,008 and 9,228.86

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Solution

The fourth proportional to 30,005.36, 45,008 and 9,228.86 is: 13,843.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005.36 : 45,008 = 9,228.86 : x
  2. Step 2: Convert to fraction form
    30,005.36/45,008 = 9,228.86/x
  3. Step 3: Cross multiply
    30,005.36x = 45,008 × 9,228.86
  4. Step 4: Simplify right side
    30,005.36x = 415,372,530.88
  5. Step 5: Solve for x
    x = 415,372,530.88/30,005.36
  6. Step 6: Final answer
    x = 13,843.28

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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.