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Finding the Fourth Proportional to 3,709.64, 5,565 and 1,243.92

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Solution

The fourth proportional to 3,709.64, 5,565 and 1,243.92 is: 1,866.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.64 : 5,565 = 1,243.92 : x
  2. Step 2: Convert to fraction form
    3,709.64/5,565 = 1,243.92/x
  3. Step 3: Cross multiply
    3,709.64x = 5,565 × 1,243.92
  4. Step 4: Simplify right side
    3,709.64x = 6,922,414.80
  5. Step 5: Solve for x
    x = 6,922,414.80/3,709.64
  6. Step 6: Final answer
    x = 1,866.06

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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.