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Finding the Fourth Proportional to 1,387.06, 1,914.29 and 827.67

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Solution

The fourth proportional to 1,387.06, 1,914.29 and 827.67 is: 1,142.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.06 : 1,914.29 = 827.67 : x
  2. Step 2: Convert to fraction form
    1,387.06/1,914.29 = 827.67/x
  3. Step 3: Cross multiply
    1,387.06x = 1,914.29 × 827.67
  4. Step 4: Simplify right side
    1,387.06x = 1,584,400.40
  5. Step 5: Solve for x
    x = 1,584,400.40/1,387.06
  6. Step 6: Final answer
    x = 1,142.27

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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.