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Finding the Fourth Proportional to 9,405.81, 13,039.44 and 8,906.46

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Solution

The fourth proportional to 9,405.81, 13,039.44 and 8,906.46 is: 12,347.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.81 : 13,039.44 = 8,906.46 : x
  2. Step 2: Convert to fraction form
    9,405.81/13,039.44 = 8,906.46/x
  3. Step 3: Cross multiply
    9,405.81x = 13,039.44 × 8,906.46
  4. Step 4: Simplify right side
    9,405.81x = 116,135,250.78
  5. Step 5: Solve for x
    x = 116,135,250.78/9,405.81
  6. Step 6: Final answer
    x = 12,347.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.