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Finding the Fourth Proportional to 1,327.94, 1,987.80 and 981.68

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Solution

The fourth proportional to 1,327.94, 1,987.80 and 981.68 is: 1,469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.94 : 1,987.80 = 981.68 : x
  2. Step 2: Convert to fraction form
    1,327.94/1,987.80 = 981.68/x
  3. Step 3: Cross multiply
    1,327.94x = 1,987.80 × 981.68
  4. Step 4: Simplify right side
    1,327.94x = 1,951,383.50
  5. Step 5: Solve for x
    x = 1,951,383.50/1,327.94
  6. Step 6: Final answer
    x = 1,469.48

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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.