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Finding the Fourth Proportional to 1,327.78, 1,989.99 and 962.74

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Solution

The fourth proportional to 1,327.78, 1,989.99 and 962.74 is: 1,442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.78 : 1,989.99 = 962.74 : x
  2. Step 2: Convert to fraction form
    1,327.78/1,989.99 = 962.74/x
  3. Step 3: Cross multiply
    1,327.78x = 1,989.99 × 962.74
  4. Step 4: Simplify right side
    1,327.78x = 1,915,842.97
  5. Step 5: Solve for x
    x = 1,915,842.97/1,327.78
  6. Step 6: Final answer
    x = 1,442.89

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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.