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Finding the Fourth Proportional to 11,441.96, 15,786.18 and 6,405.40

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Solution

The fourth proportional to 11,441.96, 15,786.18 and 6,405.40 is: 8,837.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,441.96 : 15,786.18 = 6,405.40 : x
  2. Step 2: Convert to fraction form
    11,441.96/15,786.18 = 6,405.40/x
  3. Step 3: Cross multiply
    11,441.96x = 15,786.18 × 6,405.40
  4. Step 4: Simplify right side
    11,441.96x = 101,116,797.37
  5. Step 5: Solve for x
    x = 101,116,797.37/11,441.96
  6. Step 6: Final answer
    x = 8,837.37

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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.