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Finding the Fourth Proportional to 2,184.35, 3,276.42 and 624.34

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Solution

The fourth proportional to 2,184.35, 3,276.42 and 624.34 is: 936.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.35 : 3,276.42 = 624.34 : x
  2. Step 2: Convert to fraction form
    2,184.35/3,276.42 = 624.34/x
  3. Step 3: Cross multiply
    2,184.35x = 3,276.42 × 624.34
  4. Step 4: Simplify right side
    2,184.35x = 2,045,600.06
  5. Step 5: Solve for x
    x = 2,045,600.06/2,184.35
  6. Step 6: Final answer
    x = 936.48

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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.