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Finding the Fourth Proportional to 1,976.40, 2,962.20 and 879.60

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Solution

The fourth proportional to 1,976.40, 2,962.20 and 879.60 is: 1,318.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.40 : 2,962.20 = 879.60 : x
  2. Step 2: Convert to fraction form
    1,976.40/2,962.20 = 879.60/x
  3. Step 3: Cross multiply
    1,976.40x = 2,962.20 × 879.60
  4. Step 4: Simplify right side
    1,976.40x = 2,605,551.12
  5. Step 5: Solve for x
    x = 2,605,551.12/1,976.40
  6. Step 6: Final answer
    x = 1,318.33

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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.