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Finding the Fourth Proportional to 9,138.42, 13,759.07 and 8,332.88

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Solution

The fourth proportional to 9,138.42, 13,759.07 and 8,332.88 is: 12,546.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.42 : 13,759.07 = 8,332.88 : x
  2. Step 2: Convert to fraction form
    9,138.42/13,759.07 = 8,332.88/x
  3. Step 3: Cross multiply
    9,138.42x = 13,759.07 × 8,332.88
  4. Step 4: Simplify right side
    9,138.42x = 114,652,568.76
  5. Step 5: Solve for x
    x = 114,652,568.76/9,138.42
  6. Step 6: Final answer
    x = 12,546.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.