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Finding the Fourth Proportional to 7,776.34, 11,665.10 and 2,229.64

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Solution

The fourth proportional to 7,776.34, 11,665.10 and 2,229.64 is: 3,344.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.34 : 11,665.10 = 2,229.64 : x
  2. Step 2: Convert to fraction form
    7,776.34/11,665.10 = 2,229.64/x
  3. Step 3: Cross multiply
    7,776.34x = 11,665.10 × 2,229.64
  4. Step 4: Simplify right side
    7,776.34x = 26,008,962.42
  5. Step 5: Solve for x
    x = 26,008,962.42/7,776.34
  6. Step 6: Final answer
    x = 3,344.63

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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.