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Finding the Fourth Proportional to 1,416.78, 1,955.38 and 827.66

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Solution

The fourth proportional to 1,416.78, 1,955.38 and 827.66 is: 1,142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.78 : 1,955.38 = 827.66 : x
  2. Step 2: Convert to fraction form
    1,416.78/1,955.38 = 827.66/x
  3. Step 3: Cross multiply
    1,416.78x = 1,955.38 × 827.66
  4. Step 4: Simplify right side
    1,416.78x = 1,618,389.81
  5. Step 5: Solve for x
    x = 1,618,389.81/1,416.78
  6. Step 6: Final answer
    x = 1,142.30

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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.