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Finding the Fourth Proportional to 3,666, 5,486.25 and 3,000.18

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Solution

The fourth proportional to 3,666, 5,486.25 and 3,000.18 is: 4,489.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666 : 5,486.25 = 3,000.18 : x
  2. Step 2: Convert to fraction form
    3,666/5,486.25 = 3,000.18/x
  3. Step 3: Cross multiply
    3,666x = 5,486.25 × 3,000.18
  4. Step 4: Simplify right side
    3,666x = 16,459,737.53
  5. Step 5: Solve for x
    x = 16,459,737.53/3,666
  6. Step 6: Final answer
    x = 4,489.84

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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.