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Finding the Fourth Proportional to 2,402.64, 3,603.42 and 821.25

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Solution

The fourth proportional to 2,402.64, 3,603.42 and 821.25 is: 1,231.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.64 : 3,603.42 = 821.25 : x
  2. Step 2: Convert to fraction form
    2,402.64/3,603.42 = 821.25/x
  3. Step 3: Cross multiply
    2,402.64x = 3,603.42 × 821.25
  4. Step 4: Simplify right side
    2,402.64x = 2,959,308.68
  5. Step 5: Solve for x
    x = 2,959,308.68/2,402.64
  6. Step 6: Final answer
    x = 1,231.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.