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Finding the Fourth Proportional to 3,642.42, 5,465 and 2,182.62

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Solution

The fourth proportional to 3,642.42, 5,465 and 2,182.62 is: 3,274.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.42 : 5,465 = 2,182.62 : x
  2. Step 2: Convert to fraction form
    3,642.42/5,465 = 2,182.62/x
  3. Step 3: Cross multiply
    3,642.42x = 5,465 × 2,182.62
  4. Step 4: Simplify right side
    3,642.42x = 11,928,018.30
  5. Step 5: Solve for x
    x = 11,928,018.30/3,642.42
  6. Step 6: Final answer
    x = 3,274.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.