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Finding the Fourth Proportional to 9,232.40, 13,850.40 and 3,684.80

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Solution

The fourth proportional to 9,232.40, 13,850.40 and 3,684.80 is: 5,527.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.40 : 13,850.40 = 3,684.80 : x
  2. Step 2: Convert to fraction form
    9,232.40/13,850.40 = 3,684.80/x
  3. Step 3: Cross multiply
    9,232.40x = 13,850.40 × 3,684.80
  4. Step 4: Simplify right side
    9,232.40x = 51,035,953.92
  5. Step 5: Solve for x
    x = 51,035,953.92/9,232.40
  6. Step 6: Final answer
    x = 5,527.92

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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.