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Finding the Fourth Proportional to 3,456, 4,773.12 and 2,282.24

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Solution

The fourth proportional to 3,456, 4,773.12 and 2,282.24 is: 3,152.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456 : 4,773.12 = 2,282.24 : x
  2. Step 2: Convert to fraction form
    3,456/4,773.12 = 2,282.24/x
  3. Step 3: Cross multiply
    3,456x = 4,773.12 × 2,282.24
  4. Step 4: Simplify right side
    3,456x = 10,893,405.39
  5. Step 5: Solve for x
    x = 10,893,405.39/3,456
  6. Step 6: Final answer
    x = 3,152.03

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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.