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Finding the Fourth Proportional to 7,713.42, 11,573.82 and 7,388.43

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Solution

The fourth proportional to 7,713.42, 11,573.82 and 7,388.43 is: 11,086.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.42 : 11,573.82 = 7,388.43 : x
  2. Step 2: Convert to fraction form
    7,713.42/11,573.82 = 7,388.43/x
  3. Step 3: Cross multiply
    7,713.42x = 11,573.82 × 7,388.43
  4. Step 4: Simplify right side
    7,713.42x = 85,512,358.90
  5. Step 5: Solve for x
    x = 85,512,358.90/7,713.42
  6. Step 6: Final answer
    x = 11,086.18

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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.