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Finding the Fourth Proportional to 2,282.96, 3,422.93 and 821.93

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Solution

The fourth proportional to 2,282.96, 3,422.93 and 821.93 is: 1,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.96 : 3,422.93 = 821.93 : x
  2. Step 2: Convert to fraction form
    2,282.96/3,422.93 = 821.93/x
  3. Step 3: Cross multiply
    2,282.96x = 3,422.93 × 821.93
  4. Step 4: Simplify right side
    2,282.96x = 2,813,387.63
  5. Step 5: Solve for x
    x = 2,813,387.63/2,282.96
  6. Step 6: Final answer
    x = 1,232.34

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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.