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Finding the Fourth Proportional to 2,452, 3,383.04 and 1,456.78

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Solution

The fourth proportional to 2,452, 3,383.04 and 1,456.78 is: 2,009.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452 : 3,383.04 = 1,456.78 : x
  2. Step 2: Convert to fraction form
    2,452/3,383.04 = 1,456.78/x
  3. Step 3: Cross multiply
    2,452x = 3,383.04 × 1,456.78
  4. Step 4: Simplify right side
    2,452x = 4,928,345.01
  5. Step 5: Solve for x
    x = 4,928,345.01/2,452
  6. Step 6: Final answer
    x = 2,009.93

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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.