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Finding the Fourth Proportional to 7,864.40, 11,796.60 and 7,230.80

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Solution

The fourth proportional to 7,864.40, 11,796.60 and 7,230.80 is: 10,846.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.40 : 11,796.60 = 7,230.80 : x
  2. Step 2: Convert to fraction form
    7,864.40/11,796.60 = 7,230.80/x
  3. Step 3: Cross multiply
    7,864.40x = 11,796.60 × 7,230.80
  4. Step 4: Simplify right side
    7,864.40x = 85,298,855.28
  5. Step 5: Solve for x
    x = 85,298,855.28/7,864.40
  6. Step 6: Final answer
    x = 10,846.20

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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.