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Finding the Fourth Proportional to 1,321.52, 1,980 and 1,090.88

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Solution

The fourth proportional to 1,321.52, 1,980 and 1,090.88 is: 1,634.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.52 : 1,980 = 1,090.88 : x
  2. Step 2: Convert to fraction form
    1,321.52/1,980 = 1,090.88/x
  3. Step 3: Cross multiply
    1,321.52x = 1,980 × 1,090.88
  4. Step 4: Simplify right side
    1,321.52x = 2,159,942.40
  5. Step 5: Solve for x
    x = 2,159,942.40/1,321.52
  6. Step 6: Final answer
    x = 1,634.44

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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.