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Finding the Fourth Proportional to 3,412.88, 4,714.44 and 2,894.48

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Solution

The fourth proportional to 3,412.88, 4,714.44 and 2,894.48 is: 3,998.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.88 : 4,714.44 = 2,894.48 : x
  2. Step 2: Convert to fraction form
    3,412.88/4,714.44 = 2,894.48/x
  3. Step 3: Cross multiply
    3,412.88x = 4,714.44 × 2,894.48
  4. Step 4: Simplify right side
    3,412.88x = 13,645,852.29
  5. Step 5: Solve for x
    x = 13,645,852.29/3,412.88
  6. Step 6: Final answer
    x = 3,998.34

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1.5x scale

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.