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Finding the Fourth Proportional to 3,952.48, 5,453.40 and 2,380

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Solution

The fourth proportional to 3,952.48, 5,453.40 and 2,380 is: 3,283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.48 : 5,453.40 = 2,380 : x
  2. Step 2: Convert to fraction form
    3,952.48/5,453.40 = 2,380/x
  3. Step 3: Cross multiply
    3,952.48x = 5,453.40 × 2,380
  4. Step 4: Simplify right side
    3,952.48x = 12,979,092
  5. Step 5: Solve for x
    x = 12,979,092/3,952.48
  6. Step 6: Final answer
    x = 3,283.78

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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.