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Finding the Fourth Proportional to 1,286, 1,773.72 and 814.16

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Solution

The fourth proportional to 1,286, 1,773.72 and 814.16 is: 1,122.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286 : 1,773.72 = 814.16 : x
  2. Step 2: Convert to fraction form
    1,286/1,773.72 = 814.16/x
  3. Step 3: Cross multiply
    1,286x = 1,773.72 × 814.16
  4. Step 4: Simplify right side
    1,286x = 1,444,091.88
  5. Step 5: Solve for x
    x = 1,444,091.88/1,286
  6. Step 6: Final answer
    x = 1,122.93

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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.