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Finding the Fourth Proportional to 3,807.29, 5,709.71 and 1,209.62

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Solution

The fourth proportional to 3,807.29, 5,709.71 and 1,209.62 is: 1,814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.29 : 5,709.71 = 1,209.62 : x
  2. Step 2: Convert to fraction form
    3,807.29/5,709.71 = 1,209.62/x
  3. Step 3: Cross multiply
    3,807.29x = 5,709.71 × 1,209.62
  4. Step 4: Simplify right side
    3,807.29x = 6,906,557.79
  5. Step 5: Solve for x
    x = 6,906,557.79/3,807.29
  6. Step 6: Final answer
    x = 1,814.04

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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.