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Finding the Fourth Proportional to 2,305.65, 3,455.74 and 1,209.42

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Solution

The fourth proportional to 2,305.65, 3,455.74 and 1,209.42 is: 1,812.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.65 : 3,455.74 = 1,209.42 : x
  2. Step 2: Convert to fraction form
    2,305.65/3,455.74 = 1,209.42/x
  3. Step 3: Cross multiply
    2,305.65x = 3,455.74 × 1,209.42
  4. Step 4: Simplify right side
    2,305.65x = 4,179,441.07
  5. Step 5: Solve for x
    x = 4,179,441.07/2,305.65
  6. Step 6: Final answer
    x = 1,812.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.