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Finding the Fourth Proportional to 11,894.40, 17,805.15 and 11,238.30

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Solution

The fourth proportional to 11,894.40, 17,805.15 and 11,238.30 is: 16,823.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.40 : 17,805.15 = 11,238.30 : x
  2. Step 2: Convert to fraction form
    11,894.40/17,805.15 = 11,238.30/x
  3. Step 3: Cross multiply
    11,894.40x = 17,805.15 × 11,238.30
  4. Step 4: Simplify right side
    11,894.40x = 200,099,617.25
  5. Step 5: Solve for x
    x = 200,099,617.25/11,894.40
  6. Step 6: Final answer
    x = 16,823.01

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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.