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Finding the Fourth Proportional to 1,416.69, 1,954.67 and 827.15

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Solution

The fourth proportional to 1,416.69, 1,954.67 and 827.15 is: 1,141.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.69 : 1,954.67 = 827.15 : x
  2. Step 2: Convert to fraction form
    1,416.69/1,954.67 = 827.15/x
  3. Step 3: Cross multiply
    1,416.69x = 1,954.67 × 827.15
  4. Step 4: Simplify right side
    1,416.69x = 1,616,791.38
  5. Step 5: Solve for x
    x = 1,616,791.38/1,416.69
  6. Step 6: Final answer
    x = 1,141.25

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Double scale
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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.