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Finding the Fourth Proportional to 3,509.92, 5,265.87 and 1,288.54

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Solution

The fourth proportional to 3,509.92, 5,265.87 and 1,288.54 is: 1,933.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.92 : 5,265.87 = 1,288.54 : x
  2. Step 2: Convert to fraction form
    3,509.92/5,265.87 = 1,288.54/x
  3. Step 3: Cross multiply
    3,509.92x = 5,265.87 × 1,288.54
  4. Step 4: Simplify right side
    3,509.92x = 6,785,284.13
  5. Step 5: Solve for x
    x = 6,785,284.13/3,509.92
  6. Step 6: Final answer
    x = 1,933.17

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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.