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Finding the Fourth Proportional to 2,184.36, 3,276.18 and 645

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Solution

The fourth proportional to 2,184.36, 3,276.18 and 645 is: 967.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.36 : 3,276.18 = 645 : x
  2. Step 2: Convert to fraction form
    2,184.36/3,276.18 = 645/x
  3. Step 3: Cross multiply
    2,184.36x = 3,276.18 × 645
  4. Step 4: Simplify right side
    2,184.36x = 2,113,136.10
  5. Step 5: Solve for x
    x = 2,113,136.10/2,184.36
  6. Step 6: Final answer
    x = 967.39

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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.