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Finding the Fourth Proportional to 1,416.92, 1,955.25 and 827.42

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Solution

The fourth proportional to 1,416.92, 1,955.25 and 827.42 is: 1,141.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.92 : 1,955.25 = 827.42 : x
  2. Step 2: Convert to fraction form
    1,416.92/1,955.25 = 827.42/x
  3. Step 3: Cross multiply
    1,416.92x = 1,955.25 × 827.42
  4. Step 4: Simplify right side
    1,416.92x = 1,617,803.18
  5. Step 5: Solve for x
    x = 1,617,803.18/1,416.92
  6. Step 6: Final answer
    x = 1,141.78

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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.