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Finding the Fourth Proportional to 3,580.81, 5,371.36 and 983.75

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Solution

The fourth proportional to 3,580.81, 5,371.36 and 983.75 is: 1,475.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.81 : 5,371.36 = 983.75 : x
  2. Step 2: Convert to fraction form
    3,580.81/5,371.36 = 983.75/x
  3. Step 3: Cross multiply
    3,580.81x = 5,371.36 × 983.75
  4. Step 4: Simplify right side
    3,580.81x = 5,284,046.08
  5. Step 5: Solve for x
    x = 5,284,046.08/3,580.81
  6. Step 6: Final answer
    x = 1,475.66

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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.