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Finding the Fourth Proportional to 7,234.56, 9,926.40 and 7,111.68

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Solution

The fourth proportional to 7,234.56, 9,926.40 and 7,111.68 is: 9,757.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.56 : 9,926.40 = 7,111.68 : x
  2. Step 2: Convert to fraction form
    7,234.56/9,926.40 = 7,111.68/x
  3. Step 3: Cross multiply
    7,234.56x = 9,926.40 × 7,111.68
  4. Step 4: Simplify right side
    7,234.56x = 70,593,380.35
  5. Step 5: Solve for x
    x = 70,593,380.35/7,234.56
  6. Step 6: Final answer
    x = 9,757.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.