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Finding the Fourth Proportional to 18,031.83, 27,057.42 and 7,509.09

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Solution

The fourth proportional to 18,031.83, 27,057.42 and 7,509.09 is: 11,267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,031.83 : 27,057.42 = 7,509.09 : x
  2. Step 2: Convert to fraction form
    18,031.83/27,057.42 = 7,509.09/x
  3. Step 3: Cross multiply
    18,031.83x = 27,057.42 × 7,509.09
  4. Step 4: Simplify right side
    18,031.83x = 203,176,601.95
  5. Step 5: Solve for x
    x = 203,176,601.95/18,031.83
  6. Step 6: Final answer
    x = 11,267.66

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1.5x scale

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.