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Finding the Fourth Proportional to 11,403.90, 17,082 and 9,170.65

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Solution

The fourth proportional to 11,403.90, 17,082 and 9,170.65 is: 13,736.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,403.90 : 17,082 = 9,170.65 : x
  2. Step 2: Convert to fraction form
    11,403.90/17,082 = 9,170.65/x
  3. Step 3: Cross multiply
    11,403.90x = 17,082 × 9,170.65
  4. Step 4: Simplify right side
    11,403.90x = 156,653,043.30
  5. Step 5: Solve for x
    x = 156,653,043.30/11,403.90
  6. Step 6: Final answer
    x = 13,736.80

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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.