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Finding the Fourth Proportional to 1,796.94, 2,478.99 and 1,207.65

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Solution

The fourth proportional to 1,796.94, 2,478.99 and 1,207.65 is: 1,666.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.94 : 2,478.99 = 1,207.65 : x
  2. Step 2: Convert to fraction form
    1,796.94/2,478.99 = 1,207.65/x
  3. Step 3: Cross multiply
    1,796.94x = 2,478.99 × 1,207.65
  4. Step 4: Simplify right side
    1,796.94x = 2,993,752.27
  5. Step 5: Solve for x
    x = 2,993,752.27/1,796.94
  6. Step 6: Final answer
    x = 1,666.03

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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.