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Finding the Fourth Proportional to 11,405.16, 15,738.22 and 6,369.08

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Solution

The fourth proportional to 11,405.16, 15,738.22 and 6,369.08 is: 8,788.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.16 : 15,738.22 = 6,369.08 : x
  2. Step 2: Convert to fraction form
    11,405.16/15,738.22 = 6,369.08/x
  3. Step 3: Cross multiply
    11,405.16x = 15,738.22 × 6,369.08
  4. Step 4: Simplify right side
    11,405.16x = 100,237,982.24
  5. Step 5: Solve for x
    x = 100,237,982.24/11,405.16
  6. Step 6: Final answer
    x = 8,788.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.