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Finding the Fourth Proportional to 1,978.50, 2,965.59 and 881.31

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Solution

The fourth proportional to 1,978.50, 2,965.59 and 881.31 is: 1,321.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.50 : 2,965.59 = 881.31 : x
  2. Step 2: Convert to fraction form
    1,978.50/2,965.59 = 881.31/x
  3. Step 3: Cross multiply
    1,978.50x = 2,965.59 × 881.31
  4. Step 4: Simplify right side
    1,978.50x = 2,613,604.12
  5. Step 5: Solve for x
    x = 2,613,604.12/1,978.50
  6. Step 6: Final answer
    x = 1,321.00

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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.