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Finding the Fourth Proportional to 1,864.64, 2,796.92 and 838.64

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Solution

The fourth proportional to 1,864.64, 2,796.92 and 838.64 is: 1,257.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.64 : 2,796.92 = 838.64 : x
  2. Step 2: Convert to fraction form
    1,864.64/2,796.92 = 838.64/x
  3. Step 3: Cross multiply
    1,864.64x = 2,796.92 × 838.64
  4. Step 4: Simplify right side
    1,864.64x = 2,345,608.99
  5. Step 5: Solve for x
    x = 2,345,608.99/1,864.64
  6. Step 6: Final answer
    x = 1,257.94

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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.