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Finding the Fourth Proportional to 2,176.88, 3,265.80 and 1,022

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Solution

The fourth proportional to 2,176.88, 3,265.80 and 1,022 is: 1,533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.88 : 3,265.80 = 1,022 : x
  2. Step 2: Convert to fraction form
    2,176.88/3,265.80 = 1,022/x
  3. Step 3: Cross multiply
    2,176.88x = 3,265.80 × 1,022
  4. Step 4: Simplify right side
    2,176.88x = 3,337,647.60
  5. Step 5: Solve for x
    x = 3,337,647.60/2,176.88
  6. Step 6: Final answer
    x = 1,533.23

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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.