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Finding the Fourth Proportional to 1,794.70, 2,476.70 and 1,086.31

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Solution

The fourth proportional to 1,794.70, 2,476.70 and 1,086.31 is: 1,499.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.70 : 2,476.70 = 1,086.31 : x
  2. Step 2: Convert to fraction form
    1,794.70/2,476.70 = 1,086.31/x
  3. Step 3: Cross multiply
    1,794.70x = 2,476.70 × 1,086.31
  4. Step 4: Simplify right side
    1,794.70x = 2,690,463.98
  5. Step 5: Solve for x
    x = 2,690,463.98/1,794.70
  6. Step 6: Final answer
    x = 1,499.12

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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.