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Finding the Fourth Proportional to 3,509.73, 5,265.83 and 1,318.80

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Solution

The fourth proportional to 3,509.73, 5,265.83 and 1,318.80 is: 1,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.73 : 5,265.83 = 1,318.80 : x
  2. Step 2: Convert to fraction form
    3,509.73/5,265.83 = 1,318.80/x
  3. Step 3: Cross multiply
    3,509.73x = 5,265.83 × 1,318.80
  4. Step 4: Simplify right side
    3,509.73x = 6,944,570.01
  5. Step 5: Solve for x
    x = 6,944,570.01/3,509.73
  6. Step 6: Final answer
    x = 1,978.66

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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.