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Finding the Fourth Proportional to 2,880.72, 3,972.92 and 2,321

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Solution

The fourth proportional to 2,880.72, 3,972.92 and 2,321 is: 3,200.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.72 : 3,972.92 = 2,321 : x
  2. Step 2: Convert to fraction form
    2,880.72/3,972.92 = 2,321/x
  3. Step 3: Cross multiply
    2,880.72x = 3,972.92 × 2,321
  4. Step 4: Simplify right side
    2,880.72x = 9,221,147.32
  5. Step 5: Solve for x
    x = 9,221,147.32/2,880.72
  6. Step 6: Final answer
    x = 3,200.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.