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Finding the Fourth Proportional to 9,142.94, 13,703.16 and 7,286.42

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Solution

The fourth proportional to 9,142.94, 13,703.16 and 7,286.42 is: 10,920.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.94 : 13,703.16 = 7,286.42 : x
  2. Step 2: Convert to fraction form
    9,142.94/13,703.16 = 7,286.42/x
  3. Step 3: Cross multiply
    9,142.94x = 13,703.16 × 7,286.42
  4. Step 4: Simplify right side
    9,142.94x = 99,846,928.79
  5. Step 5: Solve for x
    x = 99,846,928.79/9,142.94
  6. Step 6: Final answer
    x = 10,920.66

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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.