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Finding the Fourth Proportional to 2,813.52, 3,880.13 and 2,342.97

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Solution

The fourth proportional to 2,813.52, 3,880.13 and 2,342.97 is: 3,231.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.52 : 3,880.13 = 2,342.97 : x
  2. Step 2: Convert to fraction form
    2,813.52/3,880.13 = 2,342.97/x
  3. Step 3: Cross multiply
    2,813.52x = 3,880.13 × 2,342.97
  4. Step 4: Simplify right side
    2,813.52x = 9,091,012.63
  5. Step 5: Solve for x
    x = 9,091,012.63/2,813.52
  6. Step 6: Final answer
    x = 3,231.19

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1.5x scale

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.