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Finding the Fourth Proportional to 7,677.42, 11,529.99 and 3,982.20

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Solution

The fourth proportional to 7,677.42, 11,529.99 and 3,982.20 is: 5,980.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.42 : 11,529.99 = 3,982.20 : x
  2. Step 2: Convert to fraction form
    7,677.42/11,529.99 = 3,982.20/x
  3. Step 3: Cross multiply
    7,677.42x = 11,529.99 × 3,982.20
  4. Step 4: Simplify right side
    7,677.42x = 45,914,726.18
  5. Step 5: Solve for x
    x = 45,914,726.18/7,677.42
  6. Step 6: Final answer
    x = 5,980.49

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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.