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Finding the Fourth Proportional to 2,184.45, 3,276.18 and 624.42

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Solution

The fourth proportional to 2,184.45, 3,276.18 and 624.42 is: 936.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.45 : 3,276.18 = 624.42 : x
  2. Step 2: Convert to fraction form
    2,184.45/3,276.18 = 624.42/x
  3. Step 3: Cross multiply
    2,184.45x = 3,276.18 × 624.42
  4. Step 4: Simplify right side
    2,184.45x = 2,045,712.32
  5. Step 5: Solve for x
    x = 2,045,712.32/2,184.45
  6. Step 6: Final answer
    x = 936.49

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Half scale
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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.