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Finding the Fourth Proportional to 2,182.12, 3,273.18 and 643

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Solution

The fourth proportional to 2,182.12, 3,273.18 and 643 is: 964.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.12 : 3,273.18 = 643 : x
  2. Step 2: Convert to fraction form
    2,182.12/3,273.18 = 643/x
  3. Step 3: Cross multiply
    2,182.12x = 3,273.18 × 643
  4. Step 4: Simplify right side
    2,182.12x = 2,104,654.74
  5. Step 5: Solve for x
    x = 2,104,654.74/2,182.12
  6. Step 6: Final answer
    x = 964.50

Related Problems

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Double scale
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Similar ratio
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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.