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Finding the Fourth Proportional to 2,452, 3,383.76 and 1,348

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Solution

The fourth proportional to 2,452, 3,383.76 and 1,348 is: 1,860.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452 : 3,383.76 = 1,348 : x
  2. Step 2: Convert to fraction form
    2,452/3,383.76 = 1,348/x
  3. Step 3: Cross multiply
    2,452x = 3,383.76 × 1,348
  4. Step 4: Simplify right side
    2,452x = 4,561,308.48
  5. Step 5: Solve for x
    x = 4,561,308.48/2,452
  6. Step 6: Final answer
    x = 1,860.24

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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.