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Finding the Fourth Proportional to 2,142.08, 3,213.15 and 842.64

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Solution

The fourth proportional to 2,142.08, 3,213.15 and 842.64 is: 1,263.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.08 : 3,213.15 = 842.64 : x
  2. Step 2: Convert to fraction form
    2,142.08/3,213.15 = 842.64/x
  3. Step 3: Cross multiply
    2,142.08x = 3,213.15 × 842.64
  4. Step 4: Simplify right side
    2,142.08x = 2,707,528.72
  5. Step 5: Solve for x
    x = 2,707,528.72/2,142.08
  6. Step 6: Final answer
    x = 1,263.97

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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.