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Finding the Fourth Proportional to 1,323.78, 1,827.70 and 827.12

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Solution

The fourth proportional to 1,323.78, 1,827.70 and 827.12 is: 1,141.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.78 : 1,827.70 = 827.12 : x
  2. Step 2: Convert to fraction form
    1,323.78/1,827.70 = 827.12/x
  3. Step 3: Cross multiply
    1,323.78x = 1,827.70 × 827.12
  4. Step 4: Simplify right side
    1,323.78x = 1,511,727.22
  5. Step 5: Solve for x
    x = 1,511,727.22/1,323.78
  6. Step 6: Final answer
    x = 1,141.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.