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Finding the Fourth Proportional to 2,184.41, 3,276.74 and 645.53

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Solution

The fourth proportional to 2,184.41, 3,276.74 and 645.53 is: 968.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.41 : 3,276.74 = 645.53 : x
  2. Step 2: Convert to fraction form
    2,184.41/3,276.74 = 645.53/x
  3. Step 3: Cross multiply
    2,184.41x = 3,276.74 × 645.53
  4. Step 4: Simplify right side
    2,184.41x = 2,115,230.74
  5. Step 5: Solve for x
    x = 2,115,230.74/2,184.41
  6. Step 6: Final answer
    x = 968.33

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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.