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Finding the Fourth Proportional to 2,184.12, 3,275.94 and 645

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Solution

The fourth proportional to 2,184.12, 3,275.94 and 645 is: 967.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.12 : 3,275.94 = 645 : x
  2. Step 2: Convert to fraction form
    2,184.12/3,275.94 = 645/x
  3. Step 3: Cross multiply
    2,184.12x = 3,275.94 × 645
  4. Step 4: Simplify right side
    2,184.12x = 2,112,981.30
  5. Step 5: Solve for x
    x = 2,112,981.30/2,184.12
  6. Step 6: Final answer
    x = 967.43

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Double scale
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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.