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Finding the Fourth Proportional to 30,201.52, 45,288.05 and 11,213

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Solution

The fourth proportional to 30,201.52, 45,288.05 and 11,213 is: 16,814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,201.52 : 45,288.05 = 11,213 : x
  2. Step 2: Convert to fraction form
    30,201.52/45,288.05 = 11,213/x
  3. Step 3: Cross multiply
    30,201.52x = 45,288.05 × 11,213
  4. Step 4: Simplify right side
    30,201.52x = 507,814,904.65
  5. Step 5: Solve for x
    x = 507,814,904.65/30,201.52
  6. Step 6: Final answer
    x = 16,814.22

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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.