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Finding the Fourth Proportional to 18,238.42, 27,357.90 and 12,038.14

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Solution

The fourth proportional to 18,238.42, 27,357.90 and 12,038.14 is: 18,057.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,238.42 : 27,357.90 = 12,038.14 : x
  2. Step 2: Convert to fraction form
    18,238.42/27,357.90 = 12,038.14/x
  3. Step 3: Cross multiply
    18,238.42x = 27,357.90 × 12,038.14
  4. Step 4: Simplify right side
    18,238.42x = 329,338,230.31
  5. Step 5: Solve for x
    x = 329,338,230.31/18,238.42
  6. Step 6: Final answer
    x = 18,057.39

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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.