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Finding the Fourth Proportional to 2,880.83, 4,321.64 and 932.38

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Solution

The fourth proportional to 2,880.83, 4,321.64 and 932.38 is: 1,398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.83 : 4,321.64 = 932.38 : x
  2. Step 2: Convert to fraction form
    2,880.83/4,321.64 = 932.38/x
  3. Step 3: Cross multiply
    2,880.83x = 4,321.64 × 932.38
  4. Step 4: Simplify right side
    2,880.83x = 4,029,410.70
  5. Step 5: Solve for x
    x = 4,029,410.70/2,880.83
  6. Step 6: Final answer
    x = 1,398.70

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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.