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Finding the Fourth Proportional to 2,880.68, 4,321.62 and 932.73

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Solution

The fourth proportional to 2,880.68, 4,321.62 and 932.73 is: 1,399.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.68 : 4,321.62 = 932.73 : x
  2. Step 2: Convert to fraction form
    2,880.68/4,321.62 = 932.73/x
  3. Step 3: Cross multiply
    2,880.68x = 4,321.62 × 932.73
  4. Step 4: Simplify right side
    2,880.68x = 4,030,904.62
  5. Step 5: Solve for x
    x = 4,030,904.62/2,880.68
  6. Step 6: Final answer
    x = 1,399.29

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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.